Practice focused topic-wise MCQs with answers and explanations for quick revision and exam preparation.
Difficulty select karke sirf is topic ke focused MCQs practice karein. Score, timer aur explanations student-friendly flow me milenge.
Showing 271-280 of 600 questions.
What is obtained when (r(x)=2x-2+5x-8) is subtracted from (p(x)=6x-2-x+3)?
A. \(4x^2-6x+11\)
(p(x)-r(x)=6x-2-x+3-\(2x^2+5x-8\)=4x-2-6x+11)। घटाते समय कोष्ठक के सभी संकेत बदलें। / (p(x)-r(x)=6x-2-x+3-\(2x^2+5x-8\)=4x-2-6x+11). Change all signs inside the bracket while subtracting.
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What is the simplified form of (-3x\(2x^2-4x+5\))?
A. \(-6x^3+12x^2-15x\)
प्रत्येक पद को (-3x) से गुणा करने पर \(-6x^3+12x^2-15x\) मिलता है। ऋणात्मक गुणक के संकेत ध्यान से लगाएं। / Multiplying each term by (-3x) gives \(-6x^3+12x^2-15x\). Apply signs carefully with a negative multiplier.
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What is the polynomial form of ((x-5)(x+2))?
A. \(x^2-3x-10\)
((x-5)(x+2)=x-2+2x-5x-10=x-2-3x-10)। मध्य पदों को संकेत सहित जोड़ें। / ((x-5)(x+2)=x-2+2x-5x-10=x-2-3x-10). Combine the middle terms with signs.
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What is obtained by simplifying ((3x+2)(x-4))?
A. \(3x^2-10x-8\)
((3x+2)(x-4)=3x-2-12x+2x-8=3x-2-10x-8)। प्रत्येक पद का हर पद से गुणा करें। / ((3x+2)(x-4)=3x-2-12x+2x-8=3x-2-10x-8). Multiply each term by each term.
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What is the value of (p(-1)) in (p(x)=x-3-4x-2+x+6)?
A. (0)
(p(-1)=-1-4-1+6=0)। इसलिए (-1) इस बहुपद का शून्य है। / (p(-1)=-1-4-1+6=0). Therefore (-1) is a zero of this polynomial.
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If (p(x)=x-2+kx-15) and (p(3)=0), what is (k)?
A. (2)
(p(3)=9+3k-15=0), इसलिए (3k=6) और (k=2)। शून्य की शर्त लगाकर अज्ञात निकालें। / (p(3)=9+3k-15=0), so (3k=6) and (k=2). Use the zero condition to find the unknown.
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If (p(x)=x-2-ax+18) and (p(3)=0), what is the value of (a)?
C. (9)
(p(3)=9-3a+18=0), इसलिए (27=3a) और (a=9)। मान रखने के बाद सरल रैखिक समीकरण हल करें। / (p(3)=9-3a+18=0), so (27=3a) and (a=9). After substitution, solve the simple linear equation.
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For what value of (m) will (x=2) be a zero of \(x^2-6x+m\)?
B. (8)
(4-12+m=0), इसलिए (m=8)। शून्य दिए होने पर बहुपद का मान (0) रखें। / (4-12+m=0), so (m=8). When a zero is given, set the polynomial value equal to (0).
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What conclusion follows when (x=1) is substituted in (p(x)=3x-2-10x+7)?
A. (1) शून्य है(1) is a zero
(p(1)=3-10+7=0), इसलिए (1) शून्य है। शून्य के लिए बहुपद का मान (0) आना चाहिए। / (p(1)=3-10+7=0), so (1) is a zero. For a zero, the polynomial value must be (0).
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What is (p(-3)) for (p(x)=x-2+6x+9)?
A. (0)
(p(-3)=9-18+9=0)। इसलिए (-3) इस बहुपद का शून्य है। / (p(-3)=9-18+9=0). Hence (-3) is a zero of this polynomial.
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