Polynomial Division Review

If (x + 3) divides a polynomial function evenly, then which of these is known to be a zero of the polynomial?

• x = -3
• x = 3
• x = 0
• cannot be determined

Tags

CCSS.HSA.APR.B.2

When setting up this synthetic division, what polynomial is being divided?

• 2x⁴ + 3x² - x + 2
• 2x⁴ + 3x³ - x² + 2
• 2x⁴ - 3x² + x - 2
• cannot be determined

Tags

CCSS.HSA.APR.D.6

When setting up this synthetic division to divide 2x⁴ + 3x² - x + 2 by (x - 1), what number goes into the red circle?

• -1
• 1
• 2
• cannot be determined

Tags

CCSS.HSA.APR.D.6

What place holder should be added to this problem?

(2x³ + 5x² + 9) ÷ (x + 3)

• 0x⁴

• 0x³

• 0x²

• 0x

Tags

CCSS.HSA.APR.D.6

Divide using synthetic division.  Be sure to use the zero of the divisor!

• 
• 
• 
• 

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

What is the remainder of (3x³ -5x² -4x +1) ÷ (x + 3)? {Hint...you can just plug in -3 and use the remainder theorem!}

• -25

• 25

• 113

• -113

Tags

CCSS.HSA.APR.B.2

Zero: x = 9

What is the factor?

• (x - 9)

• (x + 9)

• 9

• -9

Tags

CCSS.HSA.APR.B.2

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)

Tags

CCSS.HSA.APR.B.2

Cam divided (x⁴ + 3x² - 4x - 2) by factor of (x-2) using synthetic division. His work is shown above. Which best describes his mistake?

• Cam wrote the remainder incorrectly.

• Cam did not use a zero place holder for the x³ term.

• Cam added instead of subtracting the rows.

• Cam should have used -2 as his division since the factor was x-2.

Tags

CCSS.HSA.APR.D.6