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प्रश्न
For \[f(x)=3x^4+4x^3-12x^2+12\], which is the correct factorization of \[f'(x)\]?
पर्याय
\[12(x-1)(x+2)\]
\[12x(x+1)(x-2)\]
\[12x(x-1)(x+2)\]
\[24x(x-1)(x+2)\]
MCQ
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उत्तर
Factoring \[12x\] from \[12x^3+12x^2-24x\] gives \[12x(x^2+x-2)\]. Since \[x^2+x-2=(x-1)(x+2)\], the stated factorization follows.
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