91Ó°ÊÓ

In the following exercises, add the polynomials.

$\left(5y^2+12y+4\right)+\left(6y^2-8y+7\right)$

Use the remainder theorem to find the remainder.

$f\left(x\right)=x^3-8x+7$is divided by$x+3$.

Use the remainder theorem to find the remainder.

$f\left(x\right)=x^3-4x-9$is divided by$x+2$

Use the remainder theorem to find the remainder.

$f\left(x\right)=2x^3-6x-24$divided by$x-3$.

Use the remainder theorem to find the remainder.

$f\left(x\right)=7x^2-5x-8$divided by$x-1$.

Use the factor theorem to determine whether$x+3$a factor of$x^3+8x^2+21x+18$.

Use the factor theorem to determine whether$x+4$a factor ofrole="math" localid="1644481853619" $x^3+x^2-14x+8$.

Use the factor theorem to determine whether$x-2$a factor of$x^3-7x^2+7x-6$.

Use the factor theorem to determine whether$x-3$a factor of$x^3-7x^2+11x+3$.

James divides $48y+6$by $6$this way: $\frac{48y+\bcancel{6}}{\bcancel{6}}=48y$.

What is wrong with his reasoning?