Question

Use the Factor Theorem to determine whether x - c is a factor of f(x).f(x) = x ^3 + 7x ^2 - 16x + 18; x - 9YESNO

Answer 1

Given the function:

`f\mleft(x\mright)=x^3+7x^2-16x+18`

We will use synthetic division to check if (x-9) is a factor for the function

So,

`\begin{gathered} 9|1;7;-16;18 \\ \text{ ;9;144;1152} \\ ========== \\ \text{ 1;16;128;1170} \end{gathered}`

As shown the remainder is not zero

So, the answer will be (x - 9) is not a factor

Note: ( x + 9 ) is a factor for the given function