Factoring Polynomials Review

Factoring x^2+bx+c

100

Factor x^2 + 8x + 15

(x + 5) (x + 3)

200

Factor x^2 + 4x - 45

(x + 9) (x - 5)

300

Factor x^2 - 12x - 28

(x - 14) (x + 2) 

400

Factor x^2 + 11x - 12

(x + 12) (x - 1)

500

Solve 

x^2 + x - 20 = 0

(x - 4) (x + 5) = 0

x = 4 OR x = -5

Factoring ax^2+bx+c

100

Factor -y^2 + 2y + 8

- (y - 4) (y + 2)

200

Factor 5w^2 - 6w + 1

(5w - 1)(w - 1)

300

Factor 6s^2 - s - 5

(6s + 5)(s - 1)

400

Factor -3p^2 - 10p - 3

-(3p + 1)(p + 3)

500

Solve 7a^2 + 2a = 5

a = 5/7, a = -1

Factoring Difference of 2 squares

100

Factor y^2 - 16

(y + 4) (y - 4)

200

Factor 4y^2 - 64

(2y + 8)(2y - 8)

300

Factor 81c^2 - 4

(9c + 2)(9c - 2)

400

Factor -3m^2 + 48n^2

-3(m + 4n)(m - 4n)

500

Solve 32 - 18m^2 = 0

m = 4/3, m= -4/3

Factoring Perfect Square Trinomials

100

Factor h^2 + 4h + 4

(h + 2)^2 

200

Factor y^2 - 10y + 25

(y - 5)^2 

300

Factor 9t^2 - 12t + 4

(3t - 2)^2

400

Factor 3x^2 + 6xy + 3y^2

3(x + y)^2

500

Solve -2h^2 - 28h - 98 = 0

h = -7

Simplifying Rational Expressions

100

state excluded value(s)

5/(r+1)

r= -1

200

State excluded value(s)

(n+2) / (n^2 - 64)

n= -8, n=8

300

Simplify and state excluded values

(3c + 33) / (c + 11)

3, c = -11

400

Simplify and state excluded values

(g + 4) / (g^2 - 16)

1 / (g - 4) , g = -4, g = 4

500

Simplify and state excluded values

(14x^2 + 21x) / (2x^2 + x - 3)

7x / (x - 1) , x = 1, x = -3/2