Find the greatest common factor for $3x^5+12x^2$

Find the greatest common factor for $8a^3b^2+16a^2b^3+20a^3b^3$

Factor $3x-15$

Factor $5x^3-15x^2$

Find the greatest common factor for $16x^5-20x^4+8x^3$

Find the greatest common factor for $3a^2b-6a^3b^2+9a^3b^3$

Factor $ax+bx+ay+by$.

Factor $2x^2+5ax-2xy-5ay$.

Factor $x^2+8x+12$.

Factor $x^2-2x-15$.

Factor $x^2+8xy+12y^2$.

Factor $2x^2+10x-28$.

Factor $3x^3-3x^2-18x$.

Factor $6a^2+7a+2$.

Factor $4x^2-x-3$.

Factor $12y^3+10y^2-12y$.

Factor $30x^2y-5xy^2-10y^3$.

A ball is tossed into the air with an upward velocity of $16$ feet per second from the top of a building $32$ feet high. The equation that gives the height of the ball above the ground at any time $t$ is $$h=32+16t-16t^2$$ Factor the right side of this equation and then find $h$ when $t$ is $2$.

Factor $25x^2-60x+36$.

Factor $5x^2+30x+45$.

Factor $16x^2-25$.

Factor $x^4-y^4$.

Verify the formulas below.
$a^3+b^3=(a+b)(a^2-ab+b^2)$
$a^3-b^3=(a-b)(a^2+ab+b^2)$

Factor $x^3-8$.

Factor $y^3+27$.

Factor $64+t^3$.

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

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

Factor $x^6-y^6$.

Mini Lecture
Factor.

1. $x^2-9$

2. $9a^2-16b^2$

3. $a^2-10a+25$

4. $4a^2+12a+9$

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

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

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

Factor $6x^3-12x^2-48x$.

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

Factor $xy+8x+3y+24$.

Solve $2x^2-5x=12$

Solve $16a^2-25=0$

Solve $4x^2=8x$

Solve $x(2x+3)=44$

Solve $5^2=x^2+(x+1)^2$

Solve $24x^3=-10x^2+6x$

A company can manufacture $x$ hundred items for a total cost of $C=300+500x-100x^2$. How many items were manufactured if the total cost is $\$900$?

A manufacturer of portable radios knows that the number of radios she can sell per week is given by the equation $x=1,300-100p$ where $p$ is the price per radio. What price should she charge to have a weekly revenue of $\$4,000$?