91Ó°ÊÓ

A pair of glasses is dropped off a bridge $640$feet above a river. The polynomial function $h\left(t\right)=-16t^2+640$gives the height of the glasses $t$seconds after they were dropped.

Find the height of the glasses when$t=6$.

A manufacturer of the latest soccer shoes has found that the revenue received from selling the shoes at a cost of $p$dollars each is given by the polynomial $R\left(p\right)=-5p^2+360p$.

Find the revenue received when$p=110$dollars.

$f\left(x\right)=2x^2-4x-7$and $g\left(x\right)=2x^2-x+5$

Find (a) $\left(f+g\right)\left(x\right)$(b) $\left(f+g\right)\left(3\right)$(c) $\left(f-g\right)\left(x\right)$(d)$\left(f-g\right)\left(-2\right)$

In the following exercises, add the polynomials.

$\left(8x^2-5x+2\right)+\left(3x^2+3\right)$

Given functions $f\left(x\right)=4x^3-3x^2+x-1$and $g\left(x\right)=8x^3-1$.

Find (a)$\left(f+g\right)\left(x\right)$(b)$\left(f+g\right)\left(3\right)$(c)$\left(f-g\right)\left(x\right)$(d)$\left(f-g\right)\left(-2\right)$

Simplify the expression$p^3·p^{10}$.

Simplify the expression$2·2^6$.

Simplify the expression$a·a^2·a^3$.

Simplify the expression$x·x^8$.

Simplify the expression$y^a·y^b$.