यदि (p(x)=x-2 -10x+21), तो (p(7)) का मान क्या है?
If (p(x)=x-2 -10x+21), what is the value of (p(7))?
#evaluation
#zero
#quadratic polynomial
A (0)
B (7)
C (14)
D (21)
Explanation opens after your attempt
Step 1
Concept
(p(7)=49-70+21=0), so (7) is a zero of this polynomial. Simplify all terms in order after substitution.
Step 2
Why this answer is correct
The correct answer is A. (0). (p(7)=49-70+21=0), so (7) is a zero of this polynomial. Simplify all terms in order after substitution.
Step 3
Exam Tip
(p(7)=49-70+21=0), इसलिए (7) इस बहुपद का शून्य है। मान रखते समय सभी पदों को क्रम से सरल करें।
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(p(x)=x-3 -2x-2 -5x+6) के लिए कौन सा मान (p(x)=0) बनाता है?
For (p(x)=x-3 -2x-2 -5x+6), which value makes (p(x)=0)?
#zero
#cubic polynomial
#evaluation
A (1)
B (2)
C (3)
D (4)
Explanation opens after your attempt
Step 1
Concept
(p(1)=1-2-5+6=0), so (1) is a zero of this polynomial. Substituting options is a quick method.
Step 2
Why this answer is correct
The correct answer is A. (1). (p(1)=1-2-5+6=0), so (1) is a zero of this polynomial. Substituting options is a quick method.
Step 3
Exam Tip
(p(1)=1-2-5+6=0), इसलिए (1) इस बहुपद का शून्य है। विकल्पों को रखकर जांचना तेज तरीका है।
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(p(x)=9x-2 -12x+4) में (p\left\(\frac{2}{3}\right\)) का मान क्या है?
What is the value of (p\left\(\frac{2}{3}\right\)) for (p(x)=9x-2 -12x+4)?
#fraction substitution
#evaluation
#zero
A (0)
B (1)
C (2)
D (4)
Explanation opens after your attempt
Step 1
Concept
(p\left\(\frac{2}{3}\right\)=9\cdot\frac{4}{9}-8+4=0). While substituting a fraction, square and multiply carefully.
Step 2
Why this answer is correct
The correct answer is A. (0). (p\left\(\frac{2}{3}\right\)=9\cdot\frac{4}{9}-8+4=0). While substituting a fraction, square and multiply carefully.
Step 3
Exam Tip
(p\left\(\frac{2}{3}\right\)=9\cdot\frac{4}{9}-8+4=0)। भिन्न मान रखते समय वर्ग और गुणा सावधानी से करें।
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(p(x)=4x+20) का शून्य कौन सा है?
Which is the zero of (p(x)=4x+20)?
#linear polynomial
#zero
#solution
A (5)
B (-5)
C (4)
D (-4)
Explanation opens after your attempt
Step 1
Concept
From (4x+20=0), we get (x=-5). A zero is the value that makes the polynomial equal to (0).
Step 2
Why this answer is correct
The correct answer is B. (-5). From (4x+20=0), we get (x=-5). A zero is the value that makes the polynomial equal to (0).
Step 3
Exam Tip
(4x+20=0) से (x=-5) मिलता है। शून्य वह मान है जिससे बहुपद (0) हो जाए।
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बहुपद (p(x)=3x-2 -10x+7) में (x=1) रखने पर क्या निष्कर्ष है?
What conclusion follows when (x=1) is substituted in (p(x)=3x-2 -10x+7)?
#zero
#evaluation
#concept
A (1) शून्य है / (1) is a zero
B (1) घात है / (1) is a degree
C (1) गुणांक है / (1) is a coefficient
D (1) अचर पद है / (1) is a constant term
Explanation opens after your attempt
Correct Answer
A. (1) शून्य है / (1) is a zero
Step 1
Concept
(p(1)=3-10+7=0), so (1) is a zero. For a zero, the polynomial value must be (0).
Step 2
Why this answer is correct
The correct answer is A. (1) शून्य है / (1) is a zero. (p(1)=3-10+7=0), so (1) is a zero. For a zero, the polynomial value must be (0).
Step 3
Exam Tip
(p(1)=3-10+7=0), इसलिए (1) शून्य है। शून्य के लिए बहुपद का मान (0) आना चाहिए।
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किस मान के लिए \(x^2-6x+m\) में (x=2) शून्य होगा?
For what value of (m) will (x=2) be a zero of \(x^2-6x+m\)?
#zero
#parameter
#quadratic
A (6)
B (8)
C (10)
D (12)
Explanation opens after your attempt
Step 1
Concept
(4-12+m=0), so (m=8). When a zero is given, set the polynomial value equal to (0).
Step 2
Why this answer is correct
The correct answer is B. (8). (4-12+m=0), so (m=8). When a zero is given, set the polynomial value equal to (0).
Step 3
Exam Tip
(4-12+m=0), इसलिए (m=8)। शून्य दिए होने पर बहुपद का मान (0) रखें।
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(p(x)=x-3 -4x-2 +x+6) में (p(-1)) का मान क्या है?
What is the value of (p(-1)) in (p(x)=x-3 -4x-2 +x+6)?
#cubic polynomial
#evaluation
#zero
A (0)
B (2)
C (4)
D (6)
Explanation opens after your attempt
Step 1
Concept
(p(-1)=-1-4-1+6=0). Therefore (-1) is a zero of this polynomial.
Step 2
Why this answer is correct
The correct answer is A. (0). (p(-1)=-1-4-1+6=0). Therefore (-1) is a zero of this polynomial.
Step 3
Exam Tip
(p(-1)=-1-4-1+6=0)। इसलिए (-1) इस बहुपद का शून्य है।
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(p(x)=x-2 -7x+12) के लिए (p(3)) क्या है?
For (p(x)=x-2 -7x+12), what is (p(3))?
#quadratic
#zero
#evaluation
A (0)
B (2)
C (3)
D (6)
Explanation opens after your attempt
Step 1
Concept
(p(3)=9-21+12=0). Hence (3) is a zero of this polynomial.
Step 2
Why this answer is correct
The correct answer is A. (0). (p(3)=9-21+12=0). Hence (3) is a zero of this polynomial.
Step 3
Exam Tip
(p(3)=9-21+12=0)। इसलिए (3) इस बहुपद का शून्य है।
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(x=-3) किस बहुपद का शून्य है?
For which polynomial is (x=-3) a zero?
#zero
#linear polynomial
#evaluation
A (p(x)=x+3)
B (p(x)=x-3)
C (p(x)=3x+1)
D (p(x)=x-2 +3)
Explanation opens after your attempt
Correct Answer
A. (p(x)=x+3)
Step 1
Concept
(p(-3)=-3+3=0), so (x=-3) is its zero. To test a zero, substitute the value and check for (0).
Step 2
Why this answer is correct
The correct answer is A. (p(x)=x+3). (p(-3)=-3+3=0), so (x=-3) is its zero. To test a zero, substitute the value and check for (0).
Step 3
Exam Tip
(p(-3)=-3+3=0), इसलिए (x=-3) इसका शून्य है। शून्य जांचने के लिए मान रखकर परिणाम (0) देखें।
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यदि (p(x)=x-2 -16), तो (p(4)) का मान क्या है?
If (p(x)=x-2 -16), what is the value of (p(4))?
#zero
#evaluation
#substitution
A (0)
B (4)
C (8)
D (16)
Explanation opens after your attempt
Step 1
Concept
(p(4)=42 -16=0). Hence (4) is a zero of this polynomial.
Step 2
Why this answer is correct
The correct answer is A. (0). (p(4)=42 -16=0). Hence (4) is a zero of this polynomial.
Step 3
Exam Tip
(p(4)=42 -16=0)। इसलिए (4) इस बहुपद का शून्य है।
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यदि (p(x)=x-2 -ax+12) और (p(3)=0), तो (a) का मान क्या है?
If (p(x)=x-2 -ax+12) and (p(3)=0), what is the value of (a)?
#parameter
#zero
#quadratic
A (5)
B (6)
C (7)
D (8)
Explanation opens after your attempt
Step 1
Concept
(9-3a+12=0) gives (21-3a=0). Therefore (a=7).
Step 2
Why this answer is correct
The correct answer is C. (7). (9-3a+12=0) gives (21-3a=0). Therefore (a=7).
Step 3
Exam Tip
(9-3a+12=0) से (21-3a=0) मिलता है। इसलिए (a=7) है।
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यदि (p(x)=x-3 -2x-2 +x), तो (p(1)) का मान क्या है?
If (p(x)=x-3 -2x-2 +x), what is the value of (p(1))?
#cubic-polynomial
#zero
#substitution
A (0)
B (1)
C (2)
D (-1)
Explanation opens after your attempt
Step 1
Concept
(p(1)=1-2+1=0). Therefore (1) is a zero of this polynomial.
Step 2
Why this answer is correct
The correct answer is A. (0). (p(1)=1-2+1=0). Therefore (1) is a zero of this polynomial.
Step 3
Exam Tip
(p(1)=1-2+1=0) है। इसलिए (1) इस बहुपद का शून्य है।
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यदि (p(x)=x-2 +px+16) और (4) इसका शून्य है, तो (p) का मान क्या है?
If (4) is a zero of (p(x)=x-2 +px+16), what is the value of (p)?
#zero
#parameter
#quadratic
A (-8)
B (-4)
C (4)
D (8)
Explanation opens after your attempt
Step 1
Concept
\(4^2+4p+16=0\) gives (32+4p=0). Therefore (p=-8).
Step 2
Why this answer is correct
The correct answer is A. (-8). \(4^2+4p+16=0\) gives (32+4p=0). Therefore (p=-8).
Step 3
Exam Tip
\(4^2+4p+16=0\) से (32+4p=0) मिलता है। इसलिए (p=-8) है।
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यदि (p(x)=3x-2 +2x-1), तो (p\left\(\frac{1}{3}\right\)) का मान क्या है?
If (p(x)=3x-2 +2x-1), what is the value of (p\left\(\frac{1}{3}\right\))?
#fraction-substitution
#zero
#polynomial-value
A (0)
B \(\frac{1}{3}\)
C \(\frac{2}{3}\)
D (1)
Explanation opens after your attempt
Step 1
Concept
(p\left\(\frac{1}{3}\right\)=3\left\(\frac{1}{3}\right\)2 +2\left\(\frac{1}{3}\right\)-1=0). Use brackets while substituting fractions.
Step 2
Why this answer is correct
The correct answer is A. (0). (p\left\(\frac{1}{3}\right\)=3\left\(\frac{1}{3}\right\)2 +2\left\(\frac{1}{3}\right\)-1=0). Use brackets while substituting fractions.
Step 3
Exam Tip
(p\left\(\frac{1}{3}\right\)=3\left\(\frac{1}{3}\right\)2 +2\left\(\frac{1}{3}\right\)-1=0) है। भिन्न रखते समय कोष्ठक लगाएँ।
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यदि (p(x)=4x-12), तो किस मान पर (p(x)=0) होगा?
If (p(x)=4x-12), for which value will (p(x)=0)?
#linear-polynomial
#zero
#equation
A (2)
B (3)
C (4)
D (12)
Explanation opens after your attempt
Step 1
Concept
From (4x-12=0), we get (4x=12) and (x=3). This is the zero of the polynomial.
Step 2
Why this answer is correct
The correct answer is B. (3). From (4x-12=0), we get (4x=12) and (x=3). This is the zero of the polynomial.
Step 3
Exam Tip
(4x-12=0) से (4x=12) और (x=3) मिलता है। यह बहुपद का शून्य है।
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यदि (p(x)=2x-2 -7x+3), तो (p(3)) का मान क्या है?
If (p(x)=2x-2 -7x+3), what is the value of (p(3))?
#substitution
#zero
#quadratic
A (0)
B (3)
C (6)
D (9)
Explanation opens after your attempt
Step 1
Concept
(p(3)=2(3)2 -7(3)+3=18-21+3=0). Hence (3) is its zero.
Step 2
Why this answer is correct
The correct answer is A. (0). (p(3)=2(3)2 -7(3)+3=18-21+3=0). Hence (3) is its zero.
Step 3
Exam Tip
(p(3)=2(3)2 -7(3)+3=18-21+3=0) है। अतः (3) इसका शून्य है।
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यदि (p(x)=kx+12) का शून्य (3) है, तो (k) का मान क्या है?
If (3) is a zero of (p(x)=kx+12), what is the value of (k)?
#linear-polynomial
#zero
#parameter
A (4)
B (-4)
C (9)
D (-9)
Explanation opens after your attempt
Step 1
Concept
From (p(3)=0), we get (3k+12=0). Therefore (k=-4).
Step 2
Why this answer is correct
The correct answer is B. (-4). From (p(3)=0), we get (3k+12=0). Therefore (k=-4).
Step 3
Exam Tip
(p(3)=0) से (3k+12=0) मिलता है। इसलिए (k=-4) है।
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यदि (r(x)=x-3 -4x), तो (r(-2)) का मान क्या है?
If (r(x)=x-3 -4x), what is the value of (r(-2))?
#substitution
#cubic-polynomial
#zero
A (0)
B (2)
C (4)
D (-4)
Explanation opens after your attempt
Step 1
Concept
(r(-2)=(-2)3 -4(-2)=-8+8=0). Brackets are important for negative values.
Step 2
Why this answer is correct
The correct answer is A. (0). (r(-2)=(-2)3 -4(-2)=-8+8=0). Brackets are important for negative values.
Step 3
Exam Tip
(r(-2)=(-2)3 -4(-2)=-8+8=0) है। ऋणात्मक मानों में कोष्ठक लगाना जरूरी है।
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यदि (p(x)=3x-2 +bx-10) में (x=2) एक शून्य है, तो (b) का मान क्या होगा?
If (x=2) is a zero of (p(x)=3x-2 +bx-10), what will be the value of (b)?
#zero
#parameter
#quadratic polynomial
A (-1)
B (-2)
C (1)
D (2)
Explanation opens after your attempt
Step 1
Concept
(p(2)=12+2b-10=0), so (2b=-2) and (b=-1). When a zero is given, set the polynomial value equal to (0).
Step 2
Why this answer is correct
The correct answer is A. (-1). (p(2)=12+2b-10=0), so (2b=-2) and (b=-1). When a zero is given, set the polynomial value equal to (0).
Step 3
Exam Tip
(p(2)=12+2b-10=0), इसलिए (2b=-2) और (b=-1)। शून्य दिए होने पर बहुपद का मान (0) रखें।
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बहुपद (p(x)=x-3 -3x-2 +3x-1) का कौन सा मान (0) देता है?
Which value gives (0) for the polynomial (p(x)=x-3 -3x-2 +3x-1)?
#zero
#cubic polynomial
#evaluation
A (0)
B (1)
C (2)
D (3)
Explanation opens after your attempt
Step 1
Concept
(p(1)=1-3+3-1=0), so (1) is a zero of this polynomial. Substituting options can quickly identify the zero.
Step 2
Why this answer is correct
The correct answer is B. (1). (p(1)=1-3+3-1=0), so (1) is a zero of this polynomial. Substituting options can quickly identify the zero.
Step 3
Exam Tip
(p(1)=1-3+3-1=0), इसलिए (1) इस बहुपद का शून्य है। विकल्पों को रखने से शून्य जल्दी मिल सकता है।
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(p(x)=x+9) का शून्य क्या है?
What is the zero of (p(x)=x+9)?
#linear-polynomial
#zero
#easy
A (9)
B (-9)
C (0)
D (1)
Explanation opens after your attempt
Step 1
Concept
Setting (x+9=0) gives (x=-9). The zero of (x+a) is (-a).
Step 2
Why this answer is correct
The correct answer is B. (-9). Setting (x+9=0) gives (x=-9). The zero of (x+a) is (-a).
Step 3
Exam Tip
(x+9=0) करने पर (x=-9) मिलता है। (x+a) का शून्य (-a) होता है।
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(p(x)=4x-2 -12x+9) में (p\left\(\frac{3}{2}\right\)) का मान क्या है?
What is the value of (p\left\(\frac{3}{2}\right\)) for (p(x)=4x-2 -12x+9)?
#fraction substitution
#evaluation
#zero
A (0)
B (1)
C (3)
D (9)
Explanation opens after your attempt
Step 1
Concept
(p\left\(\frac{3}{2}\right\)=4\cdot\frac{9}{4}-18+9=0). While substituting a fraction, square it carefully first.
Step 2
Why this answer is correct
The correct answer is A. (0). (p\left\(\frac{3}{2}\right\)=4\cdot\frac{9}{4}-18+9=0). While substituting a fraction, square it carefully first.
Step 3
Exam Tip
(p\left\(\frac{3}{2}\right\)=4\cdot\frac{9}{4}-18+9=0)। भिन्न मान रखते समय पहले वर्ग ठीक से निकालें।
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(p(x)=3x+12) का शून्य कौन सा है?
Which is the zero of (p(x)=3x+12)?
#linear polynomial
#zero
#solution
A (4)
B (-4)
C (3)
D (-3)
Explanation opens after your attempt
Step 1
Concept
From (3x+12=0), we get (x=-4). A zero is the value that makes the polynomial equal to (0).
Step 2
Why this answer is correct
The correct answer is B. (-4). From (3x+12=0), we get (x=-4). A zero is the value that makes the polynomial equal to (0).
Step 3
Exam Tip
(3x+12=0) से (x=-4) मिलता है। शून्य वह मान है जिससे बहुपद (0) हो जाए।
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बहुपद (p(x)=2x-2 -3x+1) में (x=1) रखने पर क्या निष्कर्ष है?
What conclusion follows when (x=1) is substituted in (p(x)=2x-2 -3x+1)?
#zero
#evaluation
#concept
A (1) शून्य है / (1) is a zero
B (1) गुणांक है / (1) is a coefficient
C (1) घात है / (1) is a degree
D (1) पद है / (1) is a term
Explanation opens after your attempt
Correct Answer
A. (1) शून्य है / (1) is a zero
Step 1
Concept
(p(1)=2-3+1=0), so (1) is a zero. For a zero, the result must be (0).
Step 2
Why this answer is correct
The correct answer is A. (1) शून्य है / (1) is a zero. (p(1)=2-3+1=0), so (1) is a zero. For a zero, the result must be (0).
Step 3
Exam Tip
(p(1)=2-3+1=0), इसलिए (1) शून्य है। शून्य के लिए परिणाम (0) होना चाहिए।
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किस मान के लिए \(x^2-4x+m\) में (x=1) शून्य होगा?
For what value of (m) will (x=1) be a zero of \(x^2-4x+m\)?
#zero
#parameter
#quadratic
A (1)
B (2)
C (3)
D (4)
Explanation opens after your attempt
Step 1
Concept
(1-4+m=0), so (m=3). When a zero is given, set the polynomial value equal to (0).
Step 2
Why this answer is correct
The correct answer is C. (3). (1-4+m=0), so (m=3). When a zero is given, set the polynomial value equal to (0).
Step 3
Exam Tip
(1-4+m=0), इसलिए (m=3)। शून्य मिलने पर बहुपद का मान (0) रखें।
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(p(x)=x-3 -6x-2 +11x-6) में (p(1)) का मान क्या है?
What is the value of (p(1)) in (p(x)=x-3 -6x-2 +11x-6)?
#evaluation
#cubic polynomial
#zero
A (0)
B (1)
C (6)
D (11)
Explanation opens after your attempt
Step 1
Concept
(p(1)=1-6+11-6=0). Therefore (1) is a zero of this polynomial.
Step 2
Why this answer is correct
The correct answer is A. (0). (p(1)=1-6+11-6=0). Therefore (1) is a zero of this polynomial.
Step 3
Exam Tip
(p(1)=1-6+11-6=0)। इसलिए (1) इस बहुपद का शून्य है।
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(p(x)=x-2 +2x-8) के लिए (p(2)) क्या है?
For (p(x)=x-2 +2x-8), what is (p(2))?
#evaluation
#zero
#quadratic
A (0)
B (2)
C (4)
D (8)
Explanation opens after your attempt
Step 1
Concept
(p(2)=4+4-8=0). Hence (2) is a zero of this polynomial.
Step 2
Why this answer is correct
The correct answer is A. (0). (p(2)=4+4-8=0). Hence (2) is a zero of this polynomial.
Step 3
Exam Tip
(p(2)=4+4-8=0)। इसलिए (2) इस बहुपद का शून्य है।
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(x=2) किस बहुपद का शून्य है?
For which polynomial is (x=2) a zero?
#zero
#linear polynomial
#evaluation
A (p(x)=x-2)
B (p(x)=x+2)
C (p(x)=2x+1)
D (p(x)=x-2 +2)
Explanation opens after your attempt
Correct Answer
A. (p(x)=x-2)
Step 1
Concept
(p(2)=2-2=0), so (x=2) is its zero. To test a zero, substitute and check for (0).
Step 2
Why this answer is correct
The correct answer is A. (p(x)=x-2). (p(2)=2-2=0), so (x=2) is its zero. To test a zero, substitute and check for (0).
Step 3
Exam Tip
(p(2)=2-2=0), इसलिए (x=2) इसका शून्य है। शून्य जांचने के लिए मान रखकर (0) देखें।
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(p(x)=x-6) का शून्य क्या है?
What is the zero of (p(x)=x-6)?
#zero
#linear-polynomial
A (6)
B (-6)
C (0)
D (1)
Explanation opens after your attempt
Step 1
Concept
Setting (x-6=0) gives (x=6). The zero of (x-a) is (a).
Step 2
Why this answer is correct
The correct answer is A. (6). Setting (x-6=0) gives (x=6). The zero of (x-a) is (a).
Step 3
Exam Tip
(x-6=0) करने पर (x=6) आता है। (x-a) का शून्य (a) होता है।
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यदि (p(x)=x-2 +4x+4) है, तो (p(-2)) कितना है?
If (p(x)=x-2 +4x+4), what is (p(-2))?
#polynomials
#value
#zero
#easy
A (0)
B (2)
C (4)
D (-4)
Explanation opens after your attempt
Step 1
Concept
(p(-2)=(-2)2 +4(-2)+4=4-8+4=0). Be careful with signs when substituting a negative value.
Step 2
Why this answer is correct
The correct answer is A. (0). (p(-2)=(-2)2 +4(-2)+4=4-8+4=0). Be careful with signs when substituting a negative value.
Step 3
Exam Tip
(p(-2)=(-2)2 +4(-2)+4=4-8+4=0) है। ऋणात्मक मान रखते समय चिह्न सावधानी से लिखें।
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