Polynomial Review

Intro to Polynomials

100

Name the terms in standard form. 

2 + 7x²- 4x⁵+ x³

-4x⁵+x³+7x²+2

200

The highest exponent is called the...

degree

300

Classify by degree and number of terms

7

constant and monomial

400

Write in standard form.

2ab + a³ + 5a²b² – 2b³

a³+5a²b²+2ab-2b³

500

Classify by degree and number of terms

3x³+2x²+1

cubic and trinomial

Adding/Subtracting

100

(x + 6) + (3x + 5)

4x + 11

200

(x² + 6) – (6 – x² )

2x²

300

(3x + 6) – (3x – 6)

12

400

(2x² + 4x + 1) + (3x² + 6x + 5)

5x²+10x+6

500

(3x²+ x – 4) – (4x – 6 + 8x² )

-5x² – 3x + 2

Find the Product

100

h(h+5)

h²+5h

200

3p(p – 2)

3p²-6p

300

x(x²– x + 3)

x³-x²+3x

400

3xy(x² + xy + y²)

3x³y+2x²y²+3xy³

500

5w(-7w + 3) + 2w(-2w² + 19w + 2)

-4w³+3w²+19w

Multiply Binomials

100

(x + 5)(x – 2)

x²+3x-10

200

(w – 2)(w – 3)

w²-5w+6

300

(2r + 3)(2r – 3)

4r²-9

400

(x + 4)(x² + 3x – 6)

x³+7x²+6x-24

500

 (k – 5)(k²– k – 8)

k³-6k²-3k+40

Factoring

100

2b² + 10b + 12

2(b+3)(b+2) or (2b+6)(b+2)

200

6a² + 27

3(2a+9)

300

16bc² + 24bc

8bc(2bc+3)

400

25x²– 49

(5x-7)(5x+7)

500

x²+ 2x – 8

(x-2)(x+4)