Classifying Polynomials and Applications

Which of the following expressions are in standard form? Select all that apply.

• 14a⁵ - 8a⁴ + 7a² - 11 + 5a³

• x² + 5x - 24

• 4n⁷ -11n³ + 22n

• 7y² + 13y³ - 16y

Which of the following expressions are in standard form? Select all that apply.

• 8x⁷ - 12x² + 4x³ - 11x⁴

• x⁵ - 3x³ + x +10

• 6x⁶ - 4x⁵ + 8x⁴ + 7x -11x³

• 9x³ - 17x² + 8x - 32

Classify the following expression by terms and degree. Select all that apply.

4x³ - 16x² + 8

• Quadratic

• Monomial

• Trinomial

• Binomial

• Cubic

Classify the following expression by terms and degree. Select all that apply.

14x² - 28x - 7

• Trinomial

• Cubic

• Linear

• Quadratic

• Binomial

Classify the following expression by terms and degree. Select all that apply.

12b + 36 - 24b² -11b + 3 - b

• Monomial

• Linear

• Binomial

• Quadratic

• Constant

Classify the following expression by terms and degrees. Select all that apply.

8x³ - 7x² - 3x² + x³ + 2x²

• Binomial

• Cubic

• Quadratic

• Trinomial

• 4th Degree

Classify the following expression by terms and degrees. Select all that apply.

4x²

• Quadratic

• Monomial

• Trinomial

• 3rd Degree

• Binomial

Classify the following expression by terms and degrees. Select all that apply.

6m⁴+ 4x- 8

• Trinomial

• Binomial

• Quartic

• Cubic

• Monomial

Which of the following expressions would have a leading coefficient of 9 when put in standard form. Select all that apply.

• 7x³ + 18x⁴ + 9x⁵

• 9x² - 18x + 27x³

• 2x + 9x³ - 4x⁵

• 3x² + 9x⁴ - 12x + 18x³

• 6x⁵ + 9x⁴ + 13x³

Select all the expressions that simplify to 5x³ + 3x² - 8. Select all that apply.

• (x³ + 2x² - 12) + (4x³ + x² + 4)

• (7x³ + 4x² + 12) + (-2x³ - x² + 4)

• (6x³ - 2x² - 4) + (-x³ + 5x² - 4)

• (x³ + 2x² + 1) + (4x³ - 5x² + 7)

• (-3x³ + 7x² + 9) + (8x³ - 4x² - 17)