Multiplying and Factoring Polynomials

Factors That Add to...

100

Factors that multiply to give 10 and add to 7.

2, 5

200

Factors that multiply to give 42 and add to 13.

6, 7 (Yes, I know lololol!)

300

Factors that multiply to give -42 and add to -1.

6, -7 (Again, really?!)

400

Factors that multiply to give 81 and add to 0.

9, -9

500

Factors that multiply to give 100 and add to 25.

5, 20

Factor a Trinomial

100

Factor x² - 14x + 45.

(x - 5)(x - 9)

200

Factor x² + 13x + 36.

(x + 4)(x + 9)

300

Factor 5x² + 21x + 4.

(5x + 1)(x + 4)

400

Factor 3x² - 16x + 5.

(3x - 1)(x - 5)

500

Factor 16x² - 25.

(4x + 5)(4x - 5)

Multiply Binomials

100

(x - 4)(x + 6)

x² + 2x - 24

200

(x + 4)(x + 6)

x² + 10x + 24

300

(2x + 1)(x + 7)

2x² + 15x +7

400

(3x - 4)(x + 10)

3x² + 26x -40

500

(12x + 1)(x + 1)

12x² + 13x +1

Factor a Difference of Squares

100

Factor x² - 16.

(x + 4)(x - 4)

200

Factor 4x² - 16.

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

300

Factor 16x² - 4.

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

400

Factor a²b² - c².

(ab + c)(ab - c)

500

Factor 25x² - y².

(5x + y)(5x - y)

Factor a GCF

100

Factor 4x+6.

2(2x+3)

200

Factor -10x² + 70x

10x(-x + 7)  OR  -10x(x - 7)

300

Factor x⁵y³ - x⁴y⁵.

x⁴y³(x - y²)

400

Factor a⁴b + ab⁴.

ab(a³ + b³)

500

Factor 2x³ + 6x² + 4x.

2x(x² + 3x + 2)