GCF and Factors
Adding Polynomials
Factoring Quadnomials
Multiplying Polynomials
Factoring Trinomials / Special Cases
100

What is the GCF between 6 and 9?

3

100

(x+5)+(3x+9)

4x + 14

100

Factor x2 + 2x + 3x + 6

(x + 3)(x + 2)

100
(3x+1)(2x+3)
6x2+12x+3
100

Find b1 and b2 for x2 + 5x + 4

b1 = 4

b2 = 1 (or vice versa)

200

What is the GCF between 39 and 52?

13

200

(6x2+4)-(3x2+5)

3x2-1

200

Factor x2 + 5x - 2x - 10

(x + 5)(x - 2)

200
(2x-5)(3x+2)
6x2-4x-10
200

Find b1 and b2 for x2 - 3x - 28

b1 = -7

b2 = 4 (or vice versa)

300

Write the factored form of the expression 3x - 12

3(x - 4)

300
(-4x2+2x-3)+(5x2-4x+8)
x2-2x+5
300

Factor 2x2 + 4x + 5x + 10

(2x + 5)(x + 2)

300

(2x-4)(3x2-6x+1)

6x3-24x2+26x-4

300

Factor the trinomial x2 + 6x + 9

(x + 3)(x + 3)
400

What factor would multiply with 4x2y to equal 20x4y2z?

5x2yz

400
(8x2-4x+3)+(7x2+2x-11)
15x2-2x-8
400

Factor a2 + 3ab - ab - 3b2

(a + 3b)(a - b)

400
(2x2-4x+6)(x2+5x-2)
2x4+6x3-18x2+38x-12
400

Factor the polynomial 9x2 - 16

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

500

Factor out the GCF of the expression 6x3 - 8x2 + 14x

2x(3x2 - 4x + 7)

500

(6x3+4x2-4x+5)-2(2x3-3x2+5x-5)

2x3+10x2-14x+15

500

Factor 4x2 - 8xy + 12xy - 24y2

(4x + 12y)(x - 2y)

500

Ms. Waters wants to know how many desks can fit in her classroom next year. The length of her classroom is x+5 ft and the width of her classroom is x-4 ft. What is the area of her classroom? Area = lw

x2+x-20 square ft

500

A rectangle has an area of 4x2 - 12x + 9. If one side has a length of (2x - 3), what is the length of the other side?

(2x - 3)(2x - 3) or (2x - 3)2

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