Adding and Subtracting Polynomials with Distribution

Classify the following polynomial according to its terms:

4x² + 5x -7

• Monomial

• Binomial

• Trinomial

• Polynomial

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

True or False: The following is a polynomial:

2x⁴ + 3x³ - 5x² + x -12

• True

• False

Which of the following polynomials is written in standard form?

• 9 + 8x - 2x²

• 10x + x³ - 4x² - 11

• x⁴ + 5x³ - 6x +1

• 4x³ + 3x⁴ + 2x + 1

Add the following polynomials:

(x³ + 6x - 5) + (-6x² + 4x + 3)

• x³ - 6x² +10x - 8

• x³ - 6x² +10x + 2

• x³ - 6x² +10x - 2

• x³ + 4x - 2

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

Subtract the following polynomials:

(6x² + 10x - 9) - (4x² - 13)

• 2x² + 10x - 22

• 10x² + 10x - 22

• 2x² + 10x - 4

• 2x² + 10x + 4

Subtract the following polynomials:

(-5x² + x³ - 2x + 3) - (-5x² -x³ + 4x + 8)

• 2x³ - 6x + 11

• 2x³ - 6x - 5

• 2x³ - 10x² - 6x - 5

• - 10x² - 6x - 5

Classify by degree of polynomial:
3x³ – 6x

• Constant
• Linear
• Quadratic
• Cubic