단항식과 다항식의 계산

Evaluate a Polynomial for a Given Value

In the following exercises, evaluate each polynomial for the given value.

$\text{Evaluate}\,4-36x\,\text{when:}$- ⓐ $\,x=3$

• ⓑ $\,x=0$
• ⓒ $x=-1$

Evaluate a Polynomial for a Given Value

In the following exercises, evaluate each polynomial for the given value.

$\text{Evaluate}\,16-36{x}^{2}\,\text{when:}$- ⓐ $\,x=-1\,$

• ⓑ $\,x=0$
• ⓒ $x=2$

A window washer drops a squeegee from a platform $275$ feet high. The polynomial $-16{t}^{2}+275$ gives the height of the squeegee $t$ seconds after it was dropped. Find the height after $t=4$ seconds.

A manufacturer of microwave ovens has found that the revenue received from selling microwaves at a cost of p dollars each is given by the polynomial $-5{p}^{2}+350p.$ Find the revenue received when $p=50$ dollars.

Fuel Efficiency The fuel efficiency (in miles per gallon) of a bus going at a speed of $x$ miles per hour is given by the polynomial $-\frac{1}{160}{x}^{2}+\frac{1}{2}x.$ Find the fuel efficiency when $x=40\,\text{mph.}$

Stopping Distance The number of feet it takes for a car traveling at $x$ miles per hour to stop on dry, level concrete is given by the polynomial $0.06{x}^{2}+1.1x.$ Find the stopping distance when $x=60\,\text{mph.}$

Using your own words, explain the difference between a monomial, a binomial, and a trinomial.

Eloise thinks the sum $5{x}^{2}+3{x}^{4}$ is $8{x}^{6}.$ What is wrong with her reasoning?

Distribute: $2(x+3).$

If you missed the problem, review (see text).

Distribute: $-11(4-3a).$

If you missed the problem, review (see text).

Combine like terms: ${x}^{2}+9x+7x+63.$

If you missed the problem, review (see text).

Multiply: $3(x+7).$

Multiply: $6(x+8).$

Multiply: $2(y+12).$

Multiply: $x(x-8).$

Multiply: $y(y-9).$

Multiply: $p(p-13).$

Multiply: $10x(4x+y).$

Multiply: $8x(x+3y).$

Multiply: $3r(6r+s).$