Algebra 1 Polynomials and Factoring

Factoring Special Cases

100

x² - 100

What is (x-10)(x+10)

200

m² - 169

What is (m+13)(m-13)

300

x²-10x+25

What is (x-5)²

400

25x² - 49

What is (5x-7)(5x+7)

500

2x² - 50

What is 2(x-5)(x+5)

Factoring GCF

100

Factor the GCF out of 25x² + 15

What is 5(5x² + 3)

200

Factor the GCF out of 2x² + 16x

What is 2x(x + 8)

**Double Jeopardy**

300

Factor the GCF out of 4t³ + 24t

What is 4t(t² + 6) (DOUBLE JEOPARDY)

400

Factor GCF out of 8s⁸ t⁴ + 20s⁴ t³

What is 4s⁴ t³(2s⁴t + 5)

500

Factor the GCF out of 10x⁶y⁴z⁴ + 20x⁵y³z⁴

What is 10x⁵y³z⁴(xy + 2)

**Double Jeopardy**

Number Thinking

100

What are two numbers that multiply to be 5 and add to be 6?

What are 1 and 5? (DOUBLE JEOPARDY)

200

What are two numbers that multiply to be equal to 20 and add to be equal to 9?

What are 5 and 4?

**Double Jeopardy**

300

What are two numbers that multiply to be equal to -49 and add to be equal to 0?

What are 7 and -7?

400

What are two numbers that multiply to be equal to 60 and add to be equal to -19

What are -15 and -4?

**Double Jeopardy**

500

What are two numbers that multiply to be equal to -36 and add to be equal to -9?

What are -12 and 3?

Factoring Trinomials a=1

100

Factor x²+11x+10

What is (x+10)(x+1)

200

Factor x²+4x-12

What is (x-2)(x+6)

300

Factor a² – 11a + 18

What is (a - 9)(a - 2)

400

Factor 2x² + 22x + 60

What is 2(x+5)(x+6)

500

Factor 2n² + 6n - 108

What is 2(n+9)(n-6)

Factoring Trinomials a>1

100

Factor 2n² - n - 1

What is (n - 1)(2n + 1)

200

Factor 4x² + 24x + 32

What is 4(x+2)(x+4)

300

Factor 24r² - 22r + 3

What is (4r - 3)(6r - 1)

400

Factor 3x² + 9x - 84

What is 3(x + 7)(x - 4)   

*DOUBLE JEOPARDY*

500

Factor 4w² - w + 7

What is prime