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 \(\$4,000\)?