Polynomial Review

Vocabulary

100

Classify the polynomial with the number of terms.

-15x²

monomial

200

The leading term of the polyomial

5x² - 18x⁵ + 7x

-18x⁵

300

The leading coefficient of the polynomial

8 - x³ + 4x²

-1

400

The standard form of the polynomial

0.5x - 9 + 3x²

3x² + 0.5x - 9

500

The degree of the polynomial

5x³y² + 6x⁵y³ - 9x²y⁴ + 36

8

Add or Subtract

100

3x² + 9x²

12x²

200

Answer must be in standard form

(3x³ + 2x² + 1) + (8x² - 7)

3x³ + 10x² - 6

300

Answer must be in standard form

(3 - 5x² + x) - (x² - 6x + 1)

-6x² + 7x + 2

400

Answer must be in standard form

(-8 + x - 4x²) - (-2 + 7x - 8x²)

4x² - 6x - 6

500

Answer must be in standard form

(3x² - 4) + (9x - 5x²) - (8 + 2x)

-2x² + 7x - 12

Multiply

100

(3x²)(-5x⁴)

-15x⁶

200

Answer must be in standard form

-4x³(2x - 5)

-8x⁴ + 20x³

300

Answer must be in standard form

(2x - 5)(7x + 6)

14x² - 23x - 30

400

Answer must be in standard form

(8x - 4)(3x² + x - 5)

24x³ - 4x² - 44x + 20

500

Answer must be in standard form

6x(x + 5)(3x + 1)

18x³ + 96x² + 30x

Factor

100

Factor out the GCF

15x⁴ - 20x²

5x²(3x² - 4)

200

Factor out GCF

6x²y + 9xy² -3xy

3xy(2x + 3y - 1)

300

Factor completely

x² + 20x + 96

(x + 12)(x + 8)

400

Factor completely

4x² + 28x + 49

(2x + 7)²

500

Factor completely

7x³ + 14x² - 21x

7x(x + 3)(x - 1)

Anything Goes

100

Simplify

(-3x²)³

-27x⁶

200

The constant of the polynomial

9 - 8x + x²

9

300

Answer must be in standard form

(2x - 5)²

4x² - 20x + 25

400

Factor completely

49x² - 81

(7x + 9)(7x - 9)

500

Factor completely

3x² - 36x + 108

3(x - 6)²