Classifying, Adding, Subtracting, and Multiplying Polynomials

Find the product of the following polynomials:

(2x - 3)(x + 6)

• 2x² + 15x - 18

• x² + 9x - 18

• 2x² + 9x - 18

• 2x² + 9x + 18

Classify the following polynomial according to its terms:

-x⁴ - 2x³ +7x² - 6x +13

• Monomial

• Binomial

• Trinomial

• Polynomial

Determine the leading coefficient of the following polynomial:

-8x - x³ +7x - 2

• -8

• -1

• 7

• -2

Subtract the following polynomials:

(6x² + 10x - 9) - (4x² - 13)

• 2x² + 10x - 22

• 10x² + 10x - 22

• 2x² + 10x - 4

• 2x² + 10x + 4

Multiply the following polynomial by the monomial:

-x³(2x³ - x² + 5)

• -2x⁶ + x⁵ - 5x³

• -2x⁹ + x⁶ - 5x³

• -2x⁶ - x⁵ - 5x³

• -2x⁶ - x⁵ - 5

True or False: The following is a polynomial:

5xy⁸

• True

• False

Add the following polynomials:

(12x² + 3x⁴ - 6x - 2) + (-3x⁴ + 5x + 9 - 7x²)

• 5x² - x + 7

• 6x⁴ + 5x² - x + 7

• 6x⁴ + 5x² - x + 11

• 5x² + 11x + 11

Classify the following polynomial according to its terms:

-3x² + 17

• Monomial

• Binomial

• Trinomial

• Polynomial

Classify the following polynomial according to its terms:

5x¹¹

• Monomial

• Binomial

• Trinomial

• Polynomial

Multiply the following polynomial by the monomial:

3x(4x² - x - 3)

• 12x² - 3x - 9

• 7x³ - 3x² - 6x

• 12x³ - 3x² - 9x

• 12x³ - 3x² - 6