91Ó°ÊÓ

Use synthetic division to find the quotient and remainder when $3x^3+10x^2+6x−2$ is divided by$x+2$

Use synthetic division to find the quotient and remainder when $4x^3+5x^2−5x+3$ is divided by$x+2.$

Use synthetic division to find the quotient and remainder when$x^4−16x^2+5x+20$is divided by$x+4$.

Use synthetic division to find the quotient and remainder when $x^4−9x^2+2x+6$is divided by$x+3.$

For function$f\left(x\right)=x^2-5x-24$and$g\left(x\right)=x+3$find (a)$\left(\frac{f}{g}\right)\left(x\right)$(b)$\left(\frac{f}{g}\right)\left(-3\right)$

For function$f\left(x\right)=x^2-5x-36$and$g\left(x\right)=x+4$Find (a)$\left(\frac{f}{g}\right)\left(x\right)$ (b)$\left(\frac{f}{g}\right)\left(-5\right)$

Use the Remainder Theorem to find the remainder when$f\left(x\right)=x^3+4x+15$is divided by$x+2$

In the following exercises, add or subtract the polynomials.

$\text{Find the difference:}\left(8x^2+3x-19\right)-\left(7x^2-14\right)$

Use the Remainder Theorem to find the remainder when $f\left(x\right)=x^3−7x+12$ is divided by $x+3$.