In the following exercises, determine if each of the polynomials is a monomial, binomial, trinomial, or other polynomial.

$$5 x+2$$

Cory K.

Numerade Educator

In the following exercises, determine if each of the polynomials is a monomial, binomial, trinomial, or other polynomial.

$$z^{2}-5 z-6$$

Cory K.

Numerade Educator

In the following exercises, determine if each of the polynomials is a monomial, binomial, trinomial, or other polynomial.

$$a^{2}+9 a+18$$

Cory K.

Numerade Educator

In the following exercises, determine if each of the polynomials is a monomial, binomial, trinomial, or other polynomial.

$$-12 p^{4}$$

Cory K.

Numerade Educator

In the following exercises, determine if each of the polynomials is a monomial, binomial, trinomial, or other polynomial.

$$y^{3}-8 y^{2}+2 y-16$$

Cory K.

Numerade Educator

In the following exercises, determine if each of the polynomials is a monomial, binomial, trinomial, or other polynomial.

$$10-9 x$$

Cory K.

Numerade Educator

In the following exercises, determine if each of the polynomials is a monomial, binomial, trinomial, or other polynomial.

$$23y^{2}$$

Cory K.

Numerade Educator

In the following exercises, determine if each of the polynomials is a monomial, binomial, trinomial, or other polynomial.

$$m^{4}+4 m^{3}+6 m^{2}+4 m+1$$

Cory K.

Numerade Educator

In the following exercises, determine the degree of each polynomial.

$$8 a^{5}-2 a^{3}+1$$

Cory K.

Numerade Educator

In the following exercises, determine the degree of each polynomial.

$$5 c^{3}+11 c^{2}-c-8$$

Cory K.

Numerade Educator

In the following exercises, determine the degree of each polynomial.

$$3 x-12$$

Cory K.

Numerade Educator

In the following exercises, determine the degree of each polynomial.

$$4 y+17$$

Cory K.

Numerade Educator

In the following exercises, determine the degree of each polynomial.

$$-13$$

Cory K.

Numerade Educator

In the following exercises, determine the degree of each polynomial.

$$-22$$

Cory K.

Numerade Educator

In the following exercises, add or subtract the monomials.

$$6 x^{2}+9 x^{2}$$

Cory K.

Numerade Educator

In the following exercises, add or subtract the monomials.

$$4 y^{3}+6 y^{3}$$

Cory K.

Numerade Educator

In the following exercises, add or subtract the monomials.

$$-12 u+4 u$$

Cory K.

Numerade Educator

In the following exercises, add or subtract the monomials.

$$-3 m+9 m$$

Cory K.

Numerade Educator

In the following exercises, add or subtract the monomials.

$$5 a+7 b$$

Cory K.

Numerade Educator

In the following exercises, add or subtract the monomials.

$$8 y+6 z$$

Cory K.

Numerade Educator

In the following exercises, add or subtract the monomials.

$$ \text { Add:} 4 a,-3 b,-8 a$$

Cory K.

Numerade Educator

In the following exercises, add or subtract the monomials.

$$ \text { Add:}4 x, 3 y,-3 x$$

Cory K.

Numerade Educator

In the following exercises, add or subtract the monomials.

$$18 x-2 x$$

Cory K.

Numerade Educator

In the following exercises, add or subtract the monomials.

$$13 a-3 a$$

Cory K.

Numerade Educator

In the following exercises, add or subtract the monomials.

$$ \text { Subtract } 5 x^{6} \text { from }-12 x^{6}$$

Cory K.

Numerade Educator

In the following exercises, add or subtract the monomials.

$$ \text { Subtract } 2p^{4} \text { from }-7 p^{4}$$

Cory K.

Numerade Educator

In the following exercises, add or subtract the polynomials.

$$\left(4 y^{2}+10 y+3\right)+\left(8 y^{2}-6 y+5\right)$$

Cory K.

Numerade Educator

In the following exercises, add or subtract the polynomials.

$$\left(7 x^{2}-9 x+2\right)+\left(6 x^{2}-4 x+3\right)$$

Cory K.

Numerade Educator

In the following exercises, add or subtract the polynomials.

$$\left(x^{2}+6 x+8\right)+\left(-4 x^{2}+11 x-9\right)$$

Cory K.

Numerade Educator

In the following exercises, add or subtract the polynomials.

$$\left(y^{2}+9 y+4\right)+\left(-2 y^{2}-5 y-1\right)$$

Cory K.

Numerade Educator

In the following exercises, add or subtract the polynomials.

$$\left(3 a^{2}+7\right)+\left(a^{2}-7 a-18\right)$$

Cory K.

Numerade Educator

In the following exercises, add or subtract the polynomials.

$$\left(p^{2}-5 p-11\right)+\left(3 p^{2}+9\right)$$

Cory K.

Numerade Educator

In the following exercises, add or subtract the polynomials.

$$\left(6 m^{2}-9 m-3\right)-\left(2 m^{2}+m-5\right)$$

Cory K.

Numerade Educator

In the following exercises, add or subtract the polynomials.

$$\left(3 n^{2}-4 n+1\right)-\left(4 n^{2}-n-2\right)$$

Cory K.

Numerade Educator

In the following exercises, add or subtract the polynomials.

$$\left(z^{2}+8 z+9\right)-\left(z^{2}-3 z+1\right)$$

Cory K.

Numerade Educator

In the following exercises, add or subtract the polynomials.

$$\left(z^{2}-7 z+5\right)-\left(z^{2}-8 z+6\right)$$

Cory K.

Numerade Educator

In the following exercises, add or subtract the polynomials.

$$\left(12 s^{2}-15 s\right)-(s-9)$$

Cory K.

Numerade Educator

In the following exercises, add or subtract the polynomials.

$$\left(10 r^{2}-20 r\right)-(r-8)$$

Cory K.

Numerade Educator

In the following exercises, add or subtract the polynomials.

Find the sum of $\left(2 p^{3}-8\right)$ and $\left(p^{2}+9 p+18\right)$

Cory K.

Numerade Educator

In the following exercises, add or subtract the polynomials.

Find the sum of $\left(q^{2}+4 q+13\right)$ and $\left(7 q^{3}-3\right)$

Cory K.

Numerade Educator

In the following exercises, add or subtract the polynomials.

Subtract $\left(7 x^{2}-4 x+2\right)$ from $\left(8 x^{2}-x+6\right)$

Cory K.

Numerade Educator

In the following exercises, add or subtract the polynomials.

Subtract $\left(5 x^{2}-x+12\right)$ from $\left(9 x^{2}-6 x-20\right)$

Cory K.

Numerade Educator

In the following exercises, add or subtract the polynomials.

Find the difference of $\left(w^{2}+w-42\right)$ and $\left(w^{2}-10 w+24\right)$

Cory K.

Numerade Educator

In the following exercises, add or subtract the polynomials.

Find the difference of $\left(z^{2}-3 z-18\right)$ and $\left(z^{2}+5 z-20\right)$

Cory K.

Numerade Educator

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

Evaluate $8 y^{2}-3 y+2$

(a) $y=5 \quad$ (b) $y=-2$

(c) $y=0$

Cory K.

Numerade Educator

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

Evaluate $5 y^{2}-y-7$ when:

(a) $y=-4 \quad$ (b)$ y=1$

(c) $y=0$

Cory K.

Numerade Educator

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

Evaluate $4-36 x$ when:

(a) $x=3 \quad$ (b) $ x=0$

(c) $x=-1$

Cory K.

Numerade Educator

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

Evaluate $16-36 x^{2}$ when:

(a) $x=-1 \quad$ (b) $x=0$

(c) $x=2$

Cory K.

Numerade Educator

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

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.

Cory K.

Numerade Educator

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

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 $-5 p^{2}+350 p$ . Find the revenue received when $p=50$ dollars.

Cory K.

Numerade Educator

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 $x=40 \mathrm{mph}$ .

Cory K.

Numerade Educator

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 $0.06 x^{2}+1.1 x .$ Find the stopping distance when $x=60 \mathrm{mph}$

Cory K.

Numerade Educator

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

Cory K.

Numerade Educator

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

Cory K.

Numerade Educator