Question

Using remainder theorem, find the remainder when p(x) = x³ + 3x² − 5x + 4 is divided by (x − 2).

Answer 1

$$\begin{gathered} \mathrm{Given}:p\left(x\right)=x^3+3x^2-5x+4 \\ \mathrm{Now},p\left(2\right)=2^3+3{(2}^2)-5\left(2\right)+4 \\ =8+12-10+4 \\ =14 \end{gathered}$$