Factoring Polynomials

Taking out the GCF

100

12x+20

4(3x+5)

200

8w^2+18w

2w(4w+9)

300

a^3+6a^2-11a

a(a^2+6a-11)

400

9m^4n^5-27m^2n^3

9m^2n^3(m^2n^2-3)

500

17xy^4+51x^2y^3

17xy^3(y+3x)

x^(2)+bx+c

100

x^2+5x+6

(x+2)(x+3)

200

x^2-7x+10

(x-2)(x-5)

300

x^2+6x+5

(x+1)(x+5)

400

x^2+2x-8

(x+4)(x-2)

500

x^2-7x-8

(x-8)(x+1)

Definitions

100

what is an exponent?

The number of times a number is multiplied by itself

200

 what is a variable?

A symbol for a number we don't know yet

300

What is GCF?

Greatest Common Factor  

400

what is a polynomial?

An expression of more than two algebraic terms

500

what type of polynomial am i x^2-25

Difference of perfect squares

Difference of Squares

100

x^2-144

(x+12)(x-12)

200

x^2-49

(x+7)(x-7)

300

x^2-1

(x+1)(x-1)

400

4x^2-25

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

500

9x^2-100

(3x+10)(3x-10)

Perfect Squares

100

x^2+8x+16

(x+4)(x+4)

200

x^2-10x+25

(x-5)(x-5)

300

x^2-4x+4

x^2-4x+4

400

4x^2+36x+81

(2x+9)(2x+9)

500

49x^2-84x+36

(7x-6)(7x-6)