Polynomials Terms and Degrees

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 degrees. Select all that apply.

• Monomial

• Linear

• Binomial

• Quadratic

• Constant

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

• 2nd Degree

• Monomial

• Trinomial

• 3rd Degree

• Binomial

Select all expressions that are 5th degree polynomials.

• 3x³yz

• 6x⁵y² + 18x³y²

• 5x⁸ + 15x⁵

• 8a⁴b

• 8n⁵ + 12n³ - 16n² + 64n

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)

Simplify the following expression.

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

• 8x - 2

• -2x -12

• 8x + 10

• 15x² - 8

• 15x² + 10

Simplify the following expression.

(3x³ + 11x - 14) - (-2x + 6x³ - 8)

• 9x³ + 13x - 22

• -3x³ + 13x - 6

• 9x³ + 9x - 6

• 5x³ + 5x - 6

• -3x³ + 9x - 22

Simplify the following expression.

(7x² - 16x - 13) - (-4 + 12x - 8x²)

• 11x² - 4x - 5

• -x² - 28x - 17

• -x² - 4x - 9

• 15x² - 28x - 9

• 15x² - 4x - 17

What type of polynomial is this and what is its degree?
5b³ - 3 + 6b 

• 3rd degree binomial

• 3rd degree monomial

• 3rd degree trinomial

• 1st degree polynomial