Factoring Polynomials, Adding, Subtracting, and Multiplying Polynomials

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64x³+27

(16x²-12x+9)(4x+3)

2x²+13x+15

(2x+3)(x+5)

4x²+4x-15

(2x+5)(2x-3)

4x²-25

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

2x²-3x-5

(2x-5)(x+1)

9x²-16

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

6x²-5x-4

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

3x²-10x+8

(3x-4)(x-2)

3x³+15x²-1x-5

(3x²-1)(x+5)

8x²-14x-15

(4x+3)(2x-5)

4x²-13x+3

(4x-1)(x-3)

8x³-1

(4x²+2x+1)(2x-1)

12x³-4x²+9x-3

(4x²+3)(3x-1)

10x²+37x+7

(5x+1)(2x+7)

5x²-34x-7

(5x+1)(x-7)

15x³+6x-5x²-2

(5x²+2)(3x-1)

36-49x²

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

12x³+18x²-2x-3

(6x²-1)(2x+3)

7x²+17x-12

(7x-4)(x+3)

27x³-64

(9x²+12x+16)(3x-4)

x²+9x-22

(x+11)(x-2)

x²-4

(x+2)(x-2)

x²+12x+27

(x+3)(x+9)

x²-5x-36

(x+4)(x-9)

x²-36

(x+6)(x-6)

x²-5x+4

(x-1)(x-4)

x²-5x-14

(x-7)(x+2)

x³+3x-4x²-12

(x²+3)(x-4)

x³-125

(x²+5x+25)(x-5)

x³+27

(x²-3x+9)(x+3)

5x(-2x+7)

-10x²+35x

(-7x+6)-(8x-4)

-15x+10

(3x²+5x-2)-(6x²-4x+3)

-3x²+9x-5

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

10x - 2

(2x + 1)(5x + 3)

10x² + 11x + 3

(5x-3)(2x+5)

10x²+19x-15

3x(4x² - 3x + 5)

12x³ - 9x² + 15x

(4x+3)(3x²-7x+1)

12x³-19x²-17x+3

8(2x + 3)(x + 4)

16x² + 88x + 96

(4x - 3)(5x + 2)

20x² - 7x - 6

(7x - 2)(3x + 5)

21x² + 29x - 10

4x(6x²-3)

24x³-12x

3(3x - 5)²

27x² - 90x + 75

(2x - 5)(x + 1)

2x² - 3x - 5

5(6x² + 3x + 1)

30x² + 15x + 5

5(3x + 4)(2x - 1)

30x² + 25x - 20

4(3x - 2)²

36x² - 48x + 16

3(x - 2)

3x - 6

(7x²-4x+3)+(-4x²-11x+2)

3x²-15x+5

(2x²-3x+9)-(6x²-5x-3)+(7x²-9x+10)

3x²-7x+22

4(x - 5)(x + 5)

4x² - 100

4(x - 4)(x + 4)

4x² - 64

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

4x² - 81

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

4x² - 9

(2x + 9)(3x - 1)

6x² + 25x - 9

(3x - 5)(2x - 1)

6x² - 13x + 5

(3x + 1)(2x - 5)

6x² - 13x - 5

(2x + 3)(3x - 5)

6x² - x - 15

(3x²-1)(2x+9)

6x³+27x²-2x-9

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

9x² - 16

A-C Method

A method to factor polynomials

Monomial

A number multiplied by one or more variables, represents one term.

FOIL Method

A way to multiply binomials.

Distributive property

A way to multiply polynomials.

DOTS

Difference of Two Squares

Your Favorite Algebra Teacher

Mrs. Stein

Trinomial

Three terms separated by addition or subtraction.

Binomial

Two terms separated by addition or subtraction.

Math is fun

YAY

(x + 8)(x + 2)

x² + 10x + 16

(x + 2)(x + 3)

x² + 5x + 6

(x + 6)(x - 1)

x² + 5x - 6

(x + 8)(x - 2)

x² + 6x - 16

(x + 5)(x + 4)

x² + 9x + 20

(x - 5)(x - 5)

x² - 10x + 25

(x + 3)(x - 17)

x² - 14x - 51

(x - 5)(x + 5)

x² - 25

(x - 7)(x + 4)

x² - 3x - 28

(x - 7)(x + 7)

x² - 49

(x - 7)(x + 2)

x² - 5x - 14

(x - 3)(x - 4)

x² - 7x + 12

(x - 4)(x - 4)

x² - 8x + 16

(x - 6)(x + 3)

x² − 3x − 18


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