Math 10 Polynomials

Polynomial vocabulary

100

Has two terms

What is binomial

200

Has one term

What is monomial

300

The coefficient on the term with the highest degree

What is the leading coefficient?

400

A sum of terms

What is polynomial

500

A system of pictorial representations used to show polynomials

What is algebra tiles

Factoring A

100

16b+64b³

16b(1+4b²)

200

x²-ax-5x+5a

x(x-a)-5(x-a)

=(x-a)(x-5)

300

(4/9)x²-(1/4)y²

[(2/3)x - (1/2)y] [(2/3)x + (1/2)y]

400

20x³-45x

5x(4x²-9)

=5x(2x-3)(2x_3)

500

y²(2y  -  1)  -  3y(2y  -  1)  -  10(2y  -  1)

(2y - 1)(y² - 3y - 10)

=(2y-1)(y - 5)(y + 2)

Factoring B

100

48x²  -  56x  -  30xy  +  35y

8x(6x-7)-5y(6x-7)

=(6x-7)(8x-5y)

200

m²-10mn+21n²

(m-7n)(m+3n)

300

9x⁴+35x² - 4

(9x² - 1)(x²+4)

400

10ax²+38ax-8a

2a(5x² + 19x - 4)

=2a(5x-1)(x+4)

500

(x – 5)²  - 5(x – 5) – 14

think:y² - 5y - 14

=(y-7)(y+2)

=(x-5  -7)(x-5 + 2)

=(x - 12)(x - 3)

Factoring C

100

24w⁵ - 6w³

6w³(4w²-1)

=6w³(2w-1)(2w+1)

200

2x(w+1) + 5y(w+1)

What is (w+1)(2x+5y)

300

x² + 3x + 2

What is (x+1)(x+2)

400

-2p⁸ + 8p⁴ + 42

What is: -2(p⁴ -7)(p⁴ + 3)

500

3x² - 22x + 7

What is (x-7)(3x-1)