Synthetic Division + Factor/Remainder Theorems

Divide using synthetic division:

(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

Tags

CCSS.HSA.APR.D.6

Divide using synthetic division:

(2x³ + 7x² - 6x - 8) ÷ (x + 4)

• 2x² - x - 2

• 2x³ - x² - 2x

• 2x² + 15x + 54 + 208/x+4

• 2x³ + 15x² + 54x + 208

Tags

CCSS.HSA.APR.D.6

If (x²+3x+7) is divided by (x+2), then what is the remainder?

• 0

• -3

• 9

• 5

Tags

CCSS.HSA.APR.B.2

Divide using synthetic division 
(2x³ + 4x² - 5) by (x + 3).

• 2x² + 2x - 4  R(-12)
• 2x² - 2x + 6  R(-23)
• 2x² - 2x + 8  R(-20)
• 2x² - 4x + 1  R0

Tags

CCSS.HSA.APR.D.6

What should be the order of the polynomial coefficients if
(3x - 4x³ + 6x⁴ + 1) / (x + 3)

• 3   0   -4   6   1
• 6   -4   3   1   0
• 6   -4   0   3   1
• -6   4   0   -3   -1

Tags

CCSS.HSA.APR.D.6

            Is (x-2) a factor of             f(x)= x³-8x²+14x-4?

• Yes, (x-2) is a factor. There is a remainder.
• No, (x-2) is  not a factor. The remainder is zero.
• Yes, (x-2) is a factor. The remainder is zero.
• No, (x-2) is  not a factor. There is a remainder. 

Tags

CCSS.HSA.APR.B.2

Divide.

• -3x² + 3x + 2
• x² - 3x - 2
• -3x² + 2
• x² + 3x + 2

Tags

CCSS.HSA.APR.D.6

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

• 2x³-x²-25x-12
• 2x⁴-x³-25x²-12x+0

Tags

CCSS.HSA.APR.D.6

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

• 0
• 10
• 15
• -7

Tags

CCSS.HSA.APR.D.6

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

Tags

CCSS.HSA.APR.B.2