Unit 6 - Factoring Polynomials

Factoring Trinomials (Level 1)

100

Factor completely: x²+8x+12

(x+6)(x+2)

200

Factor completely:     m²-11m+18

(m-9)(m-2)

300

Factor completely: x²+5x-24

(x+8)(x-3)

400

Factor completely:       y²-6y-7

(y-7)(y+1)

500

Factor completely:     x²-x-56

(x-8)(x+7)

Factoring Trinomials (Level 2)

100

Factor completely: 2x²+7x+3

(2x+1)(x+3)

200

Factor completely: 5n²+26n+5

(5n+1)(n+5)

300

Factor completely:    3x²-10x+7

(3x-7)(x-1)

400

Factor completely:    7x²-36x+5

(7x-1)(x-5)

500

Factor completely:    2x²-12x+10

2(x-1)(x-5)

Factoring by Difference of Squares

100

Factor completely:     4x²-9

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

200

Factor completely: 81x²-1

(9x+1)(9x-1)

300

Factor completely:      4x²-16

4(x+2)(x-2)

400

Factor completely: 144x²+1

Cannot be factored!

500

Factor completely:     9x²-16y²

(3x+4y)(3x-4y)

Factor w/ GCF

100

Factor completely: 14n²+10n

2n(7n+5)

200

Factor completely: 18x³-6x

6x(3x²-1)

300

Factor completely: 20m²+5m-15

5(4m-3)(m+1)

400

Factor completely: mx²-18mx+81m

m(x-9)²

500

Factor completely:   26y-6y²-8

2(y-4)(-3y+1)

Area and Perimeter

100

How do you find the AREA of a rectangle?

(length)(width)  or  (base)(height)

200

How do you find the PERIMETER of any polygon?

Add all of the sides

300

A rectangle has length = 2x + 1 and width = 3x 

Find the PERIMETER

10x + 2

400

A rectangle has length = x + 2 and width=2x 

Find the AREA

2x² + 4x 

500

A triangle has base=2x + 4 and height=4x 

Find the AREA

4x² + 8x