A9 Review

Naming Polynomials

100

6

Constant Monomial or

0 degree polynomial w/1 term

200

x²+3x+5

Quadratic Binomial

300

x³

Cubic Monomial or

3rd degree polynomial w/1 term

400

x⁴-2x

Quartic Binomial or

4th degree polynomial w/2 terms

500

4x⁵+3x³-5x⁴+5

Quintic Polynomial w/4 terms or

5th degree polynomial w/4 terms

Level 1

100

-3n⁴ + n² - 9n⁵

n² (-3n²- 9n³) 

200

18x³ - 6x⁵ +18x¹⁰

6x³ (3 - x² + 6x⁷)

300

80x³ + 40 + 10x⁶

10(8x³ + 4 + x⁶)

400

-9x⁹ + 5x¹² - 13x⁸

x⁸ (-9x + 5x³ - 13)

500

6x - 7x + 8

Simplified

Level 2

100

9k⁶ - 6k

3k(3k⁵ - 2)

200

2x²y⁴ + 8xy + 10x

2x(xy⁴ + 4y + 5)

300

u²v⁴ + 4u⁸v + 5u³v

u²v(v³ + 4u⁶ - 5u) 

400

6xy⁴ + 15x²y³ - 12xy³

3xy³(2x + 5y - 4)

500

-4u⁹v + 10u⁵v³ + 4u⁴v⁴

2u⁴v(-2u⁵ + 5uv² + 2v³)

Level 3

100

x² + 3x

x(x+3)

200

k² - 18k + 80

(k-10)(k-8)

300

m² - 3m - 40

(m-8)(m+5)

400

n² - 3n - 54

(n+6)(n-9)

500

a² - 2a - 80

(a+8)(a-10)

Level 3.5

100

x² - 25

(x-5)(x+5)

200

3x²-48

3(x-4)(x+4)

300

6r² + 18r - 240

6(r-5)(r+8)

400

3x² + 2

Simplified

500

What is:

(a² - b²) = (a+b)(a-b)

called?

Difference of Squares