Identify $6x^2+2x-1$ as a monomial, binomial, or trinomial if possible and give the degree.

Identify $7x^6-5x^3+2x-4$ as a monomial, binomial, or trinomial if possible and give the degree.

Identify $15$ as a monomial, binomial, or trinomial if possible and give the degree.

Add $5x^2-4x+2$ and $3x^2+9x-6$

Find the sum of $-8x^3+7x^2-6x$ and $10x^3+3x^2-2x-6$

Subtract $\left(9x^2-3x+5\right)-\left(4x^2+2x-3\right)$

Simplify $4x-3[2-(3x+4)]$

Simplify $(2x+3)-[(3x+1)-(x-7)]$

Find the value of $5x^3-3x^2+4x-5$ when $x$ is $2$

Find the product of $4x^3$ and $5x^2-3x+1$

Multiply $2x-3$ and $x+5$

Multiply $(2x-3y)$ and $\left(3x^2-xy+4y^2\right)$ vertically.

Multiply: $(4a-5b)(3a+2b)$

Multiply: $(3-2t)(4+7t)$

Multiply $\left(2x+\displaystyle\frac{1}{2}\right)\left(4x-\displaystyle\frac{1}{2}\right)$

Multiply $\left(a^5+3\right)\left(a^5-7\right)$

Multiply: $(2x+3)(5y-4)$

Find $(4x-6)^2$

Expand $(x+7)^2$

Expand $(3t-5)^2$

Expand $(4x+2y)^2$

Expand $\left(5-a^3\right)^2$

Multiply $(3x-5)$ and $(3x+5)$

Multiply: $(x-5)(x+5)$

Multiply: $(2a-3)(2a+3)$

Multiply $\left(x^2+4\right)\left(x^2-4\right)$

Multiply $\left(x^3-2a\right)\left(x^3+2a\right)$

A company manufactures and sells prerecorded DVDs. They find that they can sell $x$ DVDs each day at $p$ dollars per DVD, according to the equation $x=230-20p$. Find $R(x)$ and $R(p)$.

Suppose the daily cost function for the DVDs in the previous example is $C(x)=200+2x$. Find the profit function $P(x)$ and then find $P(130)$.

Factor $8a^3-8a^2-48a$

Factor $16a^5b^4-24a^2b^5-8a^3b^3$

Factor $5x^2(a+b)-6x(a+b)-7(a+b)$

Factor $a^2b^2+b^2+8a^2+8$

Factor $15-5y^4-3x^3+x^3y^4$

Factor $x^3+2x^2+9x+18$

Factor $x^2+2x-15$

Factor $x^2-xy-12y^2$

Factor $x^2-8x+6$

Factor $3x^4-15x^3y-18x^2y^2$

Factor $2x^2+13xy+15y^2$

Factor $12x^4+17x^2+6$

Factor $2x^2(x-3)-5x(x-3)-3(x-3)$

Factor: $3x^2-10x-8$

Factor: $9x^2+15x+4$

Factor: $8x^2-2x-15$

Factor $x^2-6x+9$

Factor $16a^2+40ab+25b^2$

Factor $49-14t+t^2$

Factor $9x^4-12x^2+4$

Factor $(y+3)^2+10(y+3)+25$

Factor $8x^2-24xy+18y^2$

Factor $\; x^2-25$

Factor $49-t^2$

Factor $81a^2-25b^2$

Factor $4x^6-1$

Factor $x^2-\displaystyle\frac{4}{9}$

Factor $16x^4-81y^4$

Factor $(x-3)^2-25$

Factor $x^2-10x+25-y^2$

Factor $x^3+2x^2-9x-18$

Factor $64+t^3$

Factor $27x^3+125y^3$

Factor $a^3-\displaystyle\frac{1}{8}$

Factor $2x^5-8x^3$.

Factor $3x^4-18x^3+27x^2$.

Factor $y^3+25y$.

Factor $6a^2-11a+4$.

Factor $2x^4+16x$

Factor $2ab^5+8ab^4+2ab^3$.

Factor $4x^2-6x+2ax-3a$

Factor $x^6-y^6$

Solve: $\; x^2-2x-24=0$

Solve $\displaystyle\frac{1}{3}x^3=\displaystyle\frac{5}{6}x^2+\displaystyle\frac{1}{2}x$

Solve: $\; 100x^2=300x$

Solve: $\; (x-2)(x+1)=4$

Folve for $x$: $\; x^3+2x^2-9x-18=0$

Solve $(x+2)(3x-1)=(x+2)(x+6)$

The sum of the squares of two consecutive integers is $25$. Find the two integers.

The lengths of the three sides of a right triangle are given by three consecutive integers. Find the lengths of the three sides.

If an object is projected into the air with an initial velocity of $v$ feet/second, its height $h$, in feet, above the ground after $t$ seconds will be given by $h=vt-16t^2$. Find $t$ if $v=64$ feet/second and $h=48$ feet.