Question

Given $f\left(x\right)=$ $4x^4+6x^3+6x^2+6x+2$, $g\left(x\right)=$ $2x+2$. Divide $\frac{f\left(x\right)}{g\left(x\right)}$ (Use division algorithm method)

Answer 1

$f\left(x\right)=4x^4+6x^3+6x^2+6x+2$

$g\left(x\right)=2x+2$

$\frac{f\left(x\right)}{g\left(x\right)}$ using division algorithm method,

so, the quotient $=2x^3+x^2+2x+1$

Hence, the answer is $2x^3+x^2+2x+1.$