91Ó°ÊÓ

Find each quotient using long division. $$ \frac{2 x^{3}+2 x^{2}-17 x+8}{x-2} $$

The CN Tower in Toronto, Ontario, is 1821 feet tall and is the world's tallest self- supporting structure. An object is dropped from the Skypod of the Tower which is at 1150 feet. Neglecting air resistance, the height of the object at time t seconds is given by the polynomial function \(P(t)=-16 t^{2}+1150 .\) Find the height of the object at the given times. See Example 5 \(t=3\) seconds

Multiply. See Example 6 $$ (3 x-1)(3 x+1) $$

Simplify each expression. Write each result using positive exponents only. See Examples I through 3. $$ \frac{-1}{p^{-4}} $$

Multiply. $$(a+7)(a-2)$$

Use synthetic division to divide. \(\left(3 x^{3}-6 x^{2}+4 x+5\right) \div\left(x-\frac{1}{2}\right)\)

Evaluate each expression given the replacement values for \(x .\) See Example 2. $$ -4 x^{2} y^{3} ; x=2 \text { and } y=-1 $$

Multiply. See Example 6 $$ (4 x-5)(4 x+5) $$

The CN Tower in Toronto, Ontario, is 1821 feet tall and is the world's tallest self- supporting structure. An object is dropped from the Skypod of the Tower which is at 1150 feet. Neglecting air resistance, the height of the object at time t seconds is given by the polynomial function \(P(t)=-16 t^{2}+1150 .\) Find the height of the object at the given times. See Example 5 \(t=6\) seconds

Find each quotient using long division. $$ \frac{4 x^{3}+11 x^{2}-8 x-10}{x+3} $$