Question

For \[f(x)=4x^3-6x^2-72x+30\], which factorization of \[f'(x)\] is correct?

Options

• \[f'(x)=12(x-3)(x+2)\]

• \[f'(x)=12(x+3)(x-2)\]

• \[f'(x)=4(x-3)(x+2)\]

• \[f'(x)=12(x-3)(x-2)\]

Answer 1

Differentiation gives \[f'(x)=12x^2-12x-72\]. Factoring gives \[12(x^2-x-6)=12(x-3)(x+2)\].