6 results found for "polynomial zero" in Class 10.
Question
Hard Mathematics
Chapter 2: Polynomials Irrational numbers and real numbers Class 10 Level 27
किस विकल्प में \(\sqrt{12}\) का सही सरल रूप है जो बहुपद के शून्यक सरल करने में उपयोगी है?
Which option gives the correct simplified form of \(\sqrt{12}\), useful in simplifying polynomial zeroes?
#radical-simplification
#irrational
#zeroes
A \(2\sqrt{3}\)
B \(3\sqrt{2}\)
C \(6\sqrt{2}\)
D \(\sqrt{6}\)
Explanation opens after your attempt
Correct Answer
A. \(2\sqrt{3}\)
Step 1
Concept
\(\sqrt{12}=\sqrt{4\cdot3}=2\sqrt{3}\). While simplifying zeroes, take square factors outside the radical.
Step 2
Why this answer is correct
The correct answer is A. \(2\sqrt{3}\). \(\sqrt{12}=\sqrt{4\cdot3}=2\sqrt{3}\). While simplifying zeroes, take square factors outside the radical.
Step 3
Exam Tip
\(\sqrt{12}=\sqrt{4\cdot3}=2\sqrt{3}\) होता है। शून्यक सरल करते समय वर्ग गुणनखंड बाहर निकालें।
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Question
Easy Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
यदि ग्राफ (x)-अक्ष को ((-4,0)) पर काटता है, तो कौन-सा मान बहुपद को शून्य बनाता है?
If a graph cuts the (x)-axis at ((-4,0)), which value makes the polynomial zero?
#negative-x-intercept
#zeroes
#graph
#easy
A (-4)
B (4)
C (0)
D (1)
Explanation opens after your attempt
Step 1
Concept
The (x)-coordinate of the intersection point is (-4). Therefore the polynomial value is (0) at (x=-4).
Step 2
Why this answer is correct
The correct answer is A. (-4). The (x)-coordinate of the intersection point is (-4). Therefore the polynomial value is (0) at (x=-4).
Step 3
Exam Tip
कटाव बिंदु का (x)-निर्देशांक (-4) है। इसलिए (x=-4) पर बहुपद का मान (0) होगा।
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Question
Hard Mathematics
Chapter 2: Polynomials Irrational numbers and real numbers Class 10 Level 26
यदि (p(x)=x-3 -3x), तो (p\(\sqrt{3}\)) का मान क्या है?
If (p(x)=x-3 -3x), what is (p\(\sqrt{3}\))?
#cubic
#polynomial zero
#irrational
A (0)
B (3)
C \(3\sqrt{3}\)
D \(-3\sqrt{3}\)
Explanation opens after your attempt
Step 1
Concept
(\(\sqrt{3}\)3 =3\sqrt{3}), so \(3\sqrt{3}-3\sqrt{3}=0\). Simplifying powers is the key step in such questions.
Step 2
Why this answer is correct
The correct answer is A. (0). (\(\sqrt{3}\)3 =3\sqrt{3}), so \(3\sqrt{3}-3\sqrt{3}=0\). Simplifying powers is the key step in such questions.
Step 3
Exam Tip
(\(\sqrt{3}\)3 =3\sqrt{3}), इसलिए \(3\sqrt{3}-3\sqrt{3}=0\) है। परीक्षा में ऐसे प्रश्नों में घात को सरल करना मुख्य कदम है।
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Question
Medium Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24
यदि (p(x)=4) है तो (p(x)=0) के हलों के बारे में क्या सही है?
If (p(x)=4), what is correct about the solutions of (p(x)=0)?
#constant polynomial zero
A एक हल है / There is one solution
B दो हल हैं / There are two solutions
C कोई वास्तविक हल नहीं है / There is no real solution
D हर (x) हल है / Every (x) is a solution
Explanation opens after your attempt
Correct Answer
C. कोई वास्तविक हल नहीं है / There is no real solution
Step 1
Concept
(p(x)=4) is never (0), so the graph does not cut the (x)-axis. Tip: a non-zero constant polynomial has no zero.
Step 2
Why this answer is correct
The correct answer is C. कोई वास्तविक हल नहीं है / There is no real solution. (p(x)=4) is never (0), so the graph does not cut the (x)-axis. Tip: a non-zero constant polynomial has no zero.
Step 3
Exam Tip
(p(x)=4) कभी (0) नहीं होता इसलिए ग्राफ (x)-अक्ष को नहीं काटता। टिप: अशून्य स्थिर बहुपद का शून्यक नहीं होता।
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Question
Easy Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24
बहुपद (p(x)=x-7) का आलेख (x)-अक्ष को किस बिंदु पर काटेगा?
At which point will the graph of (p(x)=x-7) cut the (x)-axis?
#linear polynomial zero
A ((7,0))
B ((-7,0))
C ((0,7))
D ((0,-7))
Explanation opens after your attempt
Correct Answer
A. ((7,0))
Step 1
Concept
From (x-7=0) we get (x=7). Tip: write the zero as the point ((x,0)).
Step 2
Why this answer is correct
The correct answer is A. ((7,0)). From (x-7=0) we get (x=7). Tip: write the zero as the point ((x,0)).
Step 3
Exam Tip
(x-7=0) से (x=7) मिलता है। टिप: शून्यक को बिंदु ((x,0)) में लिखें।
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Question
Easy Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23
ग्राफ में बिंदु ((-8,0)) दिखने पर बहुपद का कौन-सा मान शून्य होगा?
If the point ((-8,0)) appears on the graph, which value of the polynomial input gives zero?
#negative-zero
#coordinate-reading
#x-intercept
#polynomials
A (x=-8)
B (x=8)
C (x=0)
D (x=-1)
Explanation opens after your attempt
Step 1
Concept
The point ((-8,0)) means (y=0) at (x=-8). So (x=-8) makes the polynomial zero.
Step 2
Why this answer is correct
The correct answer is A. (x=-8). The point ((-8,0)) means (y=0) at (x=-8). So (x=-8) makes the polynomial zero.
Step 3
Exam Tip
((-8,0)) का अर्थ है (x=-8) पर (y=0)। इसलिए (x=-8) बहुपद को शून्य बनाता है।
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