The Remainder Theorem

Find the quotient of 5x⁴-3x³-30x+4/(x-2)

• 5x³+7x²+14x-2

• 5x³+7x²-16x+28

• 5x³-7x²-14x-58+(-112/(x-2))

• 5x³-7x²-44x-84

Find the remainder of 2x³-12x²+5x-3/(x+1)

• r = -22

• r = 22

• r = -18

• r = -16

Which of the following ways can you find the "zero" of an equation: Graphing, calculate, or use the remainder theorem?

• Graphing

• Calculate

• Remainder theorem

• All of these can be used

What is the remainder when x⁴ - 5 is divided by x + 3?

• 76

• 81

• 7

Using the remainder theorem, find the value of k if the polynomial x^3 - 3x^2 + kx - 5 leaves a remainder of 4 when divided by (x - 1).

• 11

• -9

• 7

• 2

What is the remainder when f(x) is divided by (x + 4)? ​ (a)  

Is (x + 4) a factor of f(x)? ​ (b)  

• r=-10

• No, there is a remainder

• Yes, the remainder is 0

• r=12

• r=-6

• r=42

• r=-42

• r=38

• r=0

• r=10

What is the remainder when 5x³-14x²-8x+5 is divided by x-3

• -13

• 10

• 13

• -10

When dividing p(x) = x³ + 2x² + 3x - 10 by (x - 2) what is the remainder aka p(-2)? (shortcut: just plug in the opposite aka 2)

Decide if (x-3) is a factor of 3x³+10x²-x-12

• Yes, it is a factor!

• No, it is not a factor!

You divide the polynomial g(x) by
(x - 3) and obtain a remainder of 9, what is g(3)?

• -3

• 3

• 9

• cannot be determined