Quadratics and Factoring

Factoring the GCF

100

3x^2-15x

3x(x-5)

200

15x^3-20x^2

5x^2(3x-4)

300

-8m^2-44m

-4m(2m+11)

400

6x^7+42x^4

6x^4(x^3+7)

500

-20x^3y^4+6x^2y^6

-2x^2y^4(10x-3y^2)

Factoring Trinomials

100

x^2+14x+48

(x+6)(x+8)

200

x^2-11x-60

(x+4)(x-15)

300

2x^2-3x-20

(2x+5)(x-4)

400

7x^2+3x-10

(7x+10)(x-1)

500

12x^2+17x-40

(4x-5)(3x+8)

Factoring Trinomials (+GCF)

100

4x^2-4x-48

4(x-4)(x+3)

200

-3x^2+27x+108

-3(x+3)(x-12)

300

4x^3-28x^2-32x

4x(x-8)(x+1)

400

6x^4+5x^3-4x^2

x^2(2x-1)(3x+4)

500

-12x^3+17x^2-6x

-x(4x-3)(3x-2)

Solving Quadratic Equations

100

x^2-x-20=0

x=5, x=-4

200

x^2+4x=45

x=-9, x=5

300

24-10x=-x^2

x=6, x=4

400

5x^2+9x+4=0

x=-4/5, x=-1

500

3x^2-8=-2x

x=4/3, x=-2

Solving More Difficult Quadratic Equations

100

4x^2-4x-15=0

x=-3/2, x=5/2

200

23x=4-6x^2

x=1/6, x=-4

300

6x^2-x=35

x=-7/3, x=5/2

400

8x^2+30x-27=0

x=3/4, x=-9/2

500

-12x^2=37x-44

x=11/12,x=-4