Question

Use synthetic division to divide f(x) by x - c, and then write f(x) in the form f(x) = (x - c)q(x) + r.f(x) = x3 - x2 + 3; x + 2

Answer 1

Given:

$f(x)=x^3-x^2+3;x+2$

we will use the synthetic division to divide f(x) by (x+2) so,

The answer will be as shown in the following picture

$\begin{gathered} q(x)=x^2-3x+6 \\ r=-9 \end{gathered}$

So, we will write the answer in the form (x-c)q(x) + r

$(x+2)(x^2-3x+6)-9$

so, the answer will be option 3