91Ó°ÊÓ

Write each polynomial in factored form. Check by multiplication. $$ x^{3}+7 x^{2}+10 x $$

Find all the zeros of each function. $$ f(x)=x^{3}-3 x^{2}+x-3 $$

Write each polynomial in factored form. Check by multiplication. $$ x^{3}+8 x^{2}+16 x $$

Use Pascal's Triangle to expand each binomial. $$ (x-4)^{8} $$

Find the relative maximum, relative minimum, and zeros of each function. $$ f(x)=-x^{3}+16 x^{2}-76 x+96 $$

Find a cubic model for each set of values. $$ (0,-12),(1,10),(2,4),(3,42) $$

Divide using synthetic division. $$ \left(x^{3}-4 x^{2}+6 x-4\right) \div(x-2) $$

A polynomial equation with rational coefficients has the given roots. Find two additional roots. $$ 2+3 i \text { and } 6 i $$

A calculator contains four batteries. With normal use, each battery has a 90\(\%\) chance of lasting for one year. Find the probability that all four batteries will last a year.

Write a polynomial function in standard form with the given zeros. $$ x=3,3,3 $$