Remainder/ Factor theorem

Remainder/ Factor theorem

Multiple Choice

(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

Multiple Choice

We Do:

What is the proper way to write the answer for the following problem?

• 2x³-x²-25x-12

• 2x⁴-x³-25x²-12x+0

Multiple Choice

You Do:

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

Multiple Choice

We do:

What is the remainder when (x¹³ + 10) is divided by (x + 1)?

• 9

• 10

• 11

Multiple Choice

We Do

What is the remainder of (x³ - 5x² - 8x +1) ÷ (x + 1)?

• -13

• 1

• 3

Multiple Choice

You Do:

What is the remainder of (4x³ - 3x² - 4x +2) ÷ (x - 3)?

• -71

• 71

• 145

Multiple Choice

We Do

Zeros: x = 3 and x = 4

What are the factors?

• (x - 3)(x - 4)

• (x + 3)(x - 4)

• (x - 3)(x + 4)

• (x + 3)(x + 4)

Multiple Choice

You Do

How many roots are shown in the picture?

• 0

• 1

• 2

• 3

Multiple Choice

You Do

What are the zeros of the function?

• 4,1

• 3,1,-2,-5

• -3, -1, 2, 5

• -2,4

Multiple Choice

We Do:

Is (x-3) a factor of (x³ - 3x² + 2x + 2)?

• Yes, because the remainder is zero.

• No, because the remainder is not zero.

  The remainder is 8.

• No, because the remainder is not zero.

• No, because the remainder is not zero

  The remainder is 10

Multiple Choice

 $x^{3\ }-y^3\ =$  

•  $\left(x\ -y\right)\left(x^2\ -xy\ +y^2\right)$  

•  $\left(x\ -\ y\right)\left(x^2\ +\ xy\ +y^2\right)$  

• (x + y) ( x - y)

Multiple Choice

You Do:

If f(x) is divisible by (x - a) hen the remainder is

• f(- a)

• f(a)

• f(1)