Algebra Test on Polynomials

In a math class, Robert is asked to identify a polynomial that has two terms. What is it called?

• polynomial

• monomial

• binomial

Ms. Natarelli is preparing a math quiz for her class. She asks, 'Which of the following expressions is a binomial?'

• 9x³ - 5

• 3x - 4y + 7

• 5x²

• 8 - 6x

What is the degree of f(x)?

• 3

• 2

• 1

• 0

(6b³ + 6 - b⁴) - (8b³ - 6b⁴ + 2)

• 4b⁴ - 2b³ + 7

• 5b⁴ - 2b³ + 4

• b⁴ - 2b³ + 7

• 5b⁴ - 2b³ + 7

Divide using long division. Show your work.

• A

• B

• C

• D

What are the coefficients we use?

• 5, 6, 28, 2

• 5, -6, -28, -2

• -5, 6, 28, 2

• -5, -6, -28, -2

Cam divided (x⁴ + 3x² - 4x - 2) by factor of (x-2) using synthetic division. His work is shown above. Which best describes his mistake?

• Cam wrote the remainder incorrectly.

• Cam did not use a zero place holder for the x³ term.

• Cam added instead of subtracting the rows.

• Cam should have used -2 as his division since the factor was x-2.

Is this division problem worked correctly?

• This is correct!

• This is incorrect!

Use synthetic division:
(2x³ - 5x - 7) ÷ (x - 2)

Show your work.

• 2x³ - 4x² + 3x - 13

• 2x³ + 4x² +3x - 1

• 2x² - 4x + 3 - 13/x-2

• 2x² + 4x + 3 - 1/x-2

If you were dividing x⁶ + 4x³ + 2, how many 0's would you need when setting up the top row of your synthetic division?

• 0

• 2

• 4

• 6