Algebra 1 Polynomials and Factoring

Multiplying Binomials

100

(x+2)(x+3)

x²+5x+6

200

(x-1)(x+3)

x²+2x-3

300

(x-5)²

x²-10x+25

400

(x+6)(x-3)

x²+3x-18

500

(xy²+2)(x³y⁴-1)

x⁴y⁶-xy²+2x³y⁴-2

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

In x² + 16 x + 63, what is b equal to and what is c equal to? (Remember ax² + bx + c)

What is b = 16 and c = 63?

200

Factor q² + 12q + 20

(q + 2)(q + 10)

300

Factor a² – 11a + 18

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

400

Factor x² + 5x – 14

What is (x + 7)(x - 2)

500

Factor k² + 4k – 96

What is (k + 12)(k - 8) (DOUBLE JEOPARDY)

Factoring Trinomials a>1

100

Factor 2n² - n - 1

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

**Double Jeopardy**

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