The Remainder Theorem

(2x³ - 5x² + 3x + 7) ÷ (x - 2)

• 2x³ - x² + x + 9

• 2x² - x + 1

• 2x² - x + 1 + 9/x-2

• 2x² - 9x - 15 - 23/x-2

When using synthetic division to test linear factors of a polynomial, what does the remainder need to equal to confirm that it is indeed a factor?

• 1

• -1

• 0

• Any number except 0

• 3

• -3

• 2

• 1

When setting up this problem using synthetic division, what numbers should fill in the squares?

• -1, 3, 15, -19, -30

• 1, -3, -15, 19, 30

• 1, 3, -15, 19, 30

• 1, -3, 15, -19, 30

When setting this problem up using synthetic division, what order of numbers should fill in the squares?

• 1, 6, 9, -3

• -1, 0, -6, 0, -9, 3

• -1, -6, -9, 3

• 1, 0, 6, 0, 9, -3

• 0

• -8

• -28

• 26

• 0

• 90

• 180

• -90

Divide using synthetic division.

What is D?

Divide using synthetic division.

What is E?