Polynomials Jeopardy!!

GCF and Factors

100

What is the GCF between 6 and 9?

3

200

What is the GCF between 39 and 52?

13

300

Write the factored form of the expression 3x - 12

3(x - 4)

400

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

5x²yz

500

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

2x(3x² - 4x + 7)

Adding Polynomials

100

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

4x + 14

200

(6x²+4)-(3x²+5)

3x²-1

300

(-4x²+2x-3)+(5x²-4x+8)

x²-2x+5

400

(8x²-4x+3)+(7x²+2x-11)

15x²-2x-8

500

(6x³+4x²-4x+5)-2(2x³-3x²+5x-5)

2x³+10x²-14x+15

Factoring Quadnomials

100

Factor x² + 2x + 3x + 6

(x + 3)(x + 2)

200

Factor x² + 5x - 2x - 10

(x + 5)(x - 2)

300

Factor 2x² + 4x + 5x + 10

(2x + 5)(x + 2)

400

Factor a² + 3ab - ab - 3b²

(a + 3b)(a - b)

500

Factor 4x² - 8xy + 12xy - 24y²

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

Multiplying Polynomials

100

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

6x²+12x+3

200

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

6x²-4x-10

300

(2x-4)(3x²-6x+1)

6x³-24x²+26x-4

400

(2x²-4x+6)(x²+5x-2)

2x⁴+6x³-18x²+38x-12

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

Factoring Trinomials / Special Cases

100

Find b1 and b2 for x² + 5x + 4

b1 = 4

b2 = 1 (or vice versa)

200

Find b1 and b2 for x² - 3x - 28

b1 = -7

b2 = 4 (or vice versa)

300

Factor the trinomial x² + 6x + 9

(x + 3)(x + 3)

400

Factor the polynomial 9x² - 16

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

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