The Remainder and Factor Theorem

What are the three factors for
 (x³ +7x² +7x -15) ÷ (x -1)?

• (x-1) (x+5) (x-3) 

• (x-1) (x+5) (x + 3) 

• (x+1) (x+5) (x-3) 

• (x+1) (x-5) (x-3) 

if f(x) = 3x² -9x -20, find the value of f(5) using synthetic division.

• 0

• 10

• 15

• -7

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

• 0

• -8

• -28

• 26

• 0

• 90

• 180

• -90

Divide using synthetic division.

What is A?

Divide using synthetic division.

What is D?

Divide using synthetic division.

What is G?

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