Quadratics

Factoring Trinomials

100

a^2+16a-17

(a-1)(a+17)

200

r^2-20r+100

(r-10)^2

300

6x^2+15x-75

3(2x-5)(x+5)

Factoring Binomials and Polynomials

100

9x^2-25

(3x+5)(3x-5)

200

8(6-x)-x(6-x)

(8-x)(6-x)

300

12x^2-27y^2

3(2x-3y)(2x+3y)

400

6x^3+3x^2-10x-5

(3x^2-5)(2x+1)

Solving Equations

100

4t^2-81=0

x=+-9/2 or +-4.5

200

12x^2+5x-2=0

x=-1/4,2/3

300

6x^2-8x-10=0

x=-0.79, 2.12

400

2x^3-6x^2-140x=0

x=10,-7

Adding/Subtracting Polynomials

100

(-8x^3-14x+12)+(4x^2-8x-1)

-8x^3+4x^2-22x+11

200

(7r^3-6r^2t-12t-1)-(6r^2t+rt-18)

7r^3-12r^2t-rt-12t+17

300

-(6y^2-4y+12)-(-11y-1)

-6y^2+15y-11

Multiplying Polynomials

100

x^3(4x^2-9x-11)

4x^5-9x^4-11x^3

200

(-6x+y)(x+y)

-6x^2-5xy+y^2

300

x(x+3)(3x-2)

3x^3+7x^2-6x

500

Find the area of a rectangle with length of

(x^2-9x+1)

 and width of 

(x-8)

x^3-17x^2+73x-8