POLYNOMIALS

Factoring Trinomials:

100

Factor completely: x²+8x+12

(x+6)(x+2)

200

Factor into two binomials: x²+5x-24

(x+8)(x-3)

300

Factor completely: 2x²+7x+3

(2x+1)(x+3)

400

Factor completely: 5x² - 15x + 10

(5x-5)(x-2)

500

Factor completely: 30x² + 62x + 28

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

GCF and Grouping

100

Factor completely: 14n²+10n

2n(7n+5)

200

Factor completely:    3x³-2x²-6x+4

(x²-2)(3x-2)

300

Factor Completely: -4x⁵ + 12x⁴ +3x - 9

(-4x⁴+3)(x-3)

400

Factor completely:   26y-6y²-8

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

500

Factor completely: 6x⁵ + 12x⁴ - 6x³ - 12x²

6x²(x-1)(x+1)(x+2)

Squares and Cubes

100

Factor completely:     4x²-9

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

200

Factor completely: 81x²-1

(9x+1)(9x-1)

300

Factor completely: 8x³ + 27

(2x + 3)(4x² - 6x + 9)

400

Factor completely:     9x²-16y²

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

500

Factor Completely: 125x³ - 216

(5x - 6)(25x² + 30x + 36)

Find your Solution

100

Find the solutions: f(x) = x³ + 7x² + 10x

x = 0, -2, -5

200

Find the solutions: y = (2x² + x - 1)(x² - 3x + 4)

x = 1/2, -1,  (3+-i\sqrt(7))/2 

300

Find the solutions: x⁴ - 81 = 0

x =  +-3, +-3i 

400

Find the solutions: 0 = x⁴ + 5x + 4

x =  +- 4i, +-i 

500

Find the solutions: x³ - 2x² + 9x - 18 = 0.

x = 2, 3i, -3i

Dividing Polynomials

100

Is (x - 6) a factor of (3x³-16x²-72)?

Yes

200

(k³ + 8k² + 10k + 21)

\divide

(k+7)

k² + k + 3

300

The remainder when (-6x⁴ + 53x³ - 41x² + 6x + 16)

\divide

(x-8)

What is 0?

400

(8x⁴ - 14x³ + x² - 12x + 12)

divide

(x-2)

8x³ + 2x² + 5x - 2 + 8/(x-2)

500

What is (x⁶ - 1) divided by (x-1)?

1 + x + x² + x³ + x⁴ + x⁵

Nomial Women of History

100

The first woman in Greek myth was actually a prank on man, who should have asked, what's in the box.

Who is Pandora?

200

A life-size statue of this girl pulling back an imaginary curtain in her attic hiding place is at a Boise Human Rights Memorial.

Who is Anne Frank?

300

18th-century English feminist Mary Wollstonecraft was the mother of this Frankenstein author.

Who is Mary Shelley?

400

She deserves a lot of R-E-S-P-E-C-T for being the first woman inducted into teh Rock & Roll Hall of Fame back in 1987.

Who is Aretha Franklin?

500

The Barbie Inspiring Women collection includes one of this NASA mathematician, no longer a "hidden figure."

Who is Katherine Johnson?