91Ó°ÊÓ

Use Pascal's Triangle to expand each binomial. $$(a+b)^{3}$$

Use Pascal's Triangle to expand each binomial. $$ (x-y)^{2} $$

For each equation, state the number of complex roots, the possible number of real roots, and the possible rational roots. $$ 3 x^{2}-7=0 $$

For each equation, state the number of complex roots, the possible number of real roots, and the possible rational roots. $$ 2 x^{5}-4 x^{4}-4 x^{2}+5=0 $$

Use the Rational Root Theorem to list all possible rational roots for each polynomial equation. Then find any actual rational roots. $$ 2 x^{3}-9 x^{2}-11 x+8=0 $$

Use the Rational Root Theorem to list all possible rational roots for each polynomial equation. Then find any actual rational roots. $$ x^{4}+2 x^{2}-15=0 $$

Write each polynomial in standard form. Then classify it by degree and by number of terms. $$ 5 a^{2}+3 a^{3}+1 $$

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

Use Pascal's Triangle to expand each binomial. $$ (d+1)^{9} $$

Automobiles You should rotate tires on a car at regular intervals. a. In how many ways can four tires be arranged on a car? b. If the spare tire is included, how many arrangements are possible?