The Remainder Theorem

What is the remainder R when the polynomial p(x) is divided by (x-5)?
p(x) = x³ - 5x² + 2x - 10

• 0

• 2x-10

• -2x-10

• 2x+10

• A.  No, x - 6 is not a factor
• B.  Yes, x - 6 is a factor

If 2 is a root of x³ - 3x² + 2x + 2, then when the polynomial is divided by x-2, it produces a remainder of ?

• 0

• 2

• 8

• 26

Is the binomial (x - 9) a factor of 4x² - 33x - 27?

• yes

• no

If the binomial (x - 7) is a factor of the polynomial function f(x), which statement must be true?

• f(7) = -7

• f(7) = 0

• f(-7) = 0

• f(-7) = -7

If 𝒙²−𝟓 is divided by 𝒙−𝟐, then what is the remainder?

If 𝟐x²+𝟏𝟎 is divided by 𝒙−𝟏, then what is the remainder?

What is the remainder when a³ - 4 is divided by a+2?

Is (x-7) a factor of (x²-5x+14)?

• Yes

• No