Question

Divide the following polynomial p(x)p(x) by the polynomial S(x)5(x)

$p\left(x\right)=2x^3+9x^2+13x+6,S\left(x\right)=2x^2+5x+3$.

Answer 1

We divide $2x^3+9x^2+13x+6$ by $(2x^2+5x+3)$ as shown in the above image:

From the division, we observe that the quotient is $x+2$ and the remainder is $0$.

Hence, the quotient is $x+2$ and the remainder is $0$.