다항식 전체 문제

In the following exercises, use the Factor Theorem to determine if $x-c$ is a factor of the polynomial function.

Determine whether $x-2$ is a factor of ${x}^{3}-7{x}^{2}+7x-6$.

In the following exercises, use the Factor Theorem to determine if $x-c$ is a factor of the polynomial function.

Determine whether $x-3$ is a factor of ${x}^{3}-7{x}^{2}+11x+3$.

For the polynomial $8{y}^{4}-3{y}^{2}+1$

ⓐ Is it a monomial, binomial, or trinomial? ⓑ What is its degree?

$(5{a}^{2}+2a-12)(9{a}^{2}+8a-4)$

$(10{x}^{2}-3x+5)-(4{x}^{2}-6)$

${\left(-\frac{3}{4}\right)}^{3}$

${x}^{-3}{x}^{4}$

$\frac{{5}^{6}}{{5}^{8}}$

${(47{a}^{18}{b}^{23}{c}^{5})}^{0}$

${4}^{-1}$

${(2y)}^{-3}$

${p}^{-3}\cdot {p}^{-8}$

$\frac{{x}^{4}}{{x}^{-5}}$

${(3{x}^{-3})}^{2}$

$\frac{24{r}^{3}s}{6{r}^{2}{s}^{7}}$

${\left(\frac{{x}^{4}{y}^{9}}{{x}^{-3}}\right)}^{2}$

$(8x{y}^{3})(-6{x}^{4}{y}^{6})$

$4u({u}^{2}-9u+1)$

$(m+3)(7m-2)$

$(n-8)({n}^{2}-4n+11)$