Unit 6 Review (Algebra 2)

Classify Polynomials

100

Classify the expression:

5x³ - 1

Cubic binomial

200

Classify the expression:

2x² - 9x - 10

Quadratic trinomial

300

Classify the expression:

5x - 11

Linear binomial

400

Classify the expression:

7x⁴

Quartic monomial

500

Classify the expression:

-15

Constant monomial

Adding Polynomials

100

Add:

(2x + 1) + (4x + 7)

6x + 8

200

Add:

(2x² + 9x + 10) + (3x² - 5x + 12)

5x² + 4x + 22

300

Add:

(4x³ - 9x + 10) + (2x² + 3x - 8)

4x³ + 2x² - 6x + 2

400

Add:

(-4x - 1) + (5x² - 2x - 3)

5x² - 6x - 4

500

Add:

(3x³ - 7x - 2) + (4x³ + 2x² - 8x + 1)

7x³ + 2x² - 15x - 1

Subtracting Polynomials

100

Subtract:

(4x + 2) - (2x + 5)

2x - 3

200

Subtract:

(5x² + 8x + 3) - (2x² + 5x + 1)

3x² + 3x + 2

300

Subtract:

(3x² + 2x - 5) - (5x + 6)

3x² - 3x - 11

400

Subtract:

(3x - 1) - (5x² + 2x + 4)

-5x² + x - 5

500

Subtract:

(2x² - 9x) - (3x³ - 9x² - 10x - 1)

-3x³ + 11x² + x + 1

Multiplying Polynomials

100

Multiply:

3x²(4x³ - 2x + 1)

12x⁵ - 6x³ + 3x²

200

Multiply:

(x + 3)(x + 6)

x² + 9x + 18

300

Multiply:

(3x + 2)(2x - 5)

6x² - 11x - 10

400

Multiply:

(x - 3)(x² + 6x + 2)

x³ + 3x² - 16x - 6

500

Multiply:

(x - 3)²

x² - 6x + 9

Factoring Polynomials

100

Factor:

x² + 7x + 10

(x + 5)(x + 2)

200

Factor

x² - 100

(x + 10)(x - 10)

300

Factor:

x³ + 6x² + 8x

x(x + 4)(x + 2)

400

Factor:

x⁴ - 5x² - 14

(x² + 2)(x² - 7)

500

Factor:

5x³ + 40x² + 60x

5x(x + 6)(x + 2)