Polynomials (adding, subtracting, multiplying)

Basic Polynomials

100

What is the degree?

-x⁸ + 16x¹⁴

14

200

Classify (give two names):

-19x² + 16

quadratic binomial

300

Write in standard form:

-8 + 8x⁴ + 14x⁵

14x⁵ + 8x⁴ - 8

400

Classify (give two names):

3x + 5 - 1234x³

cubic trinomial

500

What is the degree:

(x¹⁹ + 16x¹⁴) + (x¹² + 6x⁴)

19

Adding Polynomials

100

(3x¹² + 6x⁴) + (-4x¹² + 6x⁴)

-x¹² + 12x⁴

200

-13x² - 16x + x² + 4x²

-8x² - 16x

300

(2x + 4x + 12) + (x² - 6x)

x² + 12

400

(4x² - 5x³) + (x³ - 8x⁴) + (-5x² + 4x³)

-8x⁴ - x²

500

(x⁰ - x⁴) + (x - x⁴ + 1)

-2x⁴ + x + 2

Subtracting Polynomials

100

(x² - 8x) - (2x² - 6x)

-x² - 2x

200

(-3x² - 6x - 7) - (-2x² - 8x)

-x² + 2x - 7

300

(-3x² - 6x + 7) - (-3x² - 6x + 7) - (x + 3)

-x - 3

400

(-3 - 6x + 7) - (-2x² - 8)

2x² - 7x + 12

500

(3x² - 4x³) - (2x³ - 6x⁴) - (-2x² - 5x³)

6x⁴ - x³ + 5x²

Multiply Polynomials

100

(x + 2)(x + 4)

x² + 6x + 8

200

(x + 9)(x - 4)

x² + 5x - 36

300

(x - 3)(x - 1)

x² - 4x + 3

400

(2x - 3)²

4x² -12x + 9

500

-3ab(ab – 2a²b + 5a)

-3a²b² + 6a³b² - 15a²b

Special Products

100

(p - 4)²

p² - 8p + 16

200

(x + 12)²

x² + 24x + 144

300

(x - 1)(x + 1)

x² - 1

400

(c² + d)(c² - d)

c⁴ - d²

500

(2n - 5)²

4n² - 20n + 25