Factoring Polynomials

GCF

100

3x-9x-12

3x

200

y³+9y²

y²(y+9)

300

21x - 15y

3(7x-5y)

400

2y²-16y+32

2(y²-8y+16)

500

4x³-25x²+6x

x(4x²-1)(x-6)

Difference of squares

100

x²+81

(x+9)(x+9)

200

x²-4

(x-2)(x+2)

300

4x²-16y²

(2x-4y)(2x+4y)

400

25x²-121

(5x+11)(5x-11)

500

4x²y²-36z²

(2xy-6z)(2xy+6z)

Trinomials,a=1

100

x²+5x+6

(x+3)(x+2)

200

x²-10x+21

(x-3)(x-7)

300

x²+2x-35

(x-5)(x+7)

400

x²-15x+50

(x-10)(x-5)

500

x²+3x-18

(x-3)(x+6)

Trinomials,a>1

100

2x²+5x+2

(2x+1)(x+2)

200

3x²−17x−6

(3x+1)(x−6)

300

8x²−6x−5

(2x+1)(4x−5)

400

4x²−12x+9

(2x−3)(2x−3)

500

6x²-7xy-3y²

(3x+y)(2x−3y)

Adding and Subtracting Polynomials

100

What is the first step when adding/subtracting polynomials?

Arrange the polynomials in their standard form.

200

When adding and subtracting polynomials what do you combine?

Like terms

300

What does not change when adding or subtracting like terms?

The variable part.

400

9a²+8a+9

4a²+13a+9

500

(3x²-8x+7)-(2x²-6x+12)

x²-2x-5