Question

Which of the following is a factor of 3x³ + 15x² + 6x - 24?A.-2B. x-3OC. +4OD. x + 1Reset Selection

Answer 1

Given

`f(x)=3x^3+15x^2+6x-24`

To find the factor.

Step-by-step explanation:

It is given that,

`f(x)=3x^3+15x^2+6x-24`

That implies,

`\begin{gathered} For\text{ }x=-4, \\ f(-4)=3(-4)^3+15(-4)^2+6(-4)-24 \\ =3(-64)+15(16)-24-24 \\ =-192+240-48 \\ =48-48 \\ =0 \end{gathered}`

Hence, the factor is x+4.