Higher Degree Polynomials Review

Which function has this end behavior?

• -x²-3x+1
• -x³+2x²+3
• x⁴+3x³-4x+1
• x⁵-4x⁴+2x²-1

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which function has this end behavior?

• -1x⁴-3x³+3
• -2x⁷+2x⁴+4
• 3x⁸+3x⁵-4x+7
• 4x⁵-4x⁴+2x³-9

Tags

CCSS.HSA.APR.A.1

How many roots does the polynomial function

f(x) = 3x⁴+4x-8 have?

• 1

• 2

• 3

• 4

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

• 2x³-x²-25x+12

• 2x⁴-x³-25x²-12x+0

• 2x³-x²-25x-12

• 2x⁴-x³-25x²-12x-0

Tags

CCSS.HSA.APR.D.6

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

Use Synthetic Division to divide (2x³ + 5x² + 9) by (x + 3)

• 2x² - x + 3

• 2x³ - x² + 3x

• 2x² + 11x + 33 + 108/x+3

• 2x² - 5x + 12

Let f(x) = 3x² - 9x +2.
Is k = -3 a zero of the function?

• yes
• no

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

In the above graph, which root is a double root?

• -1

• -3

• -120

• 4

Identify the roots:

• x=-2, x=-1, x=0

• x=-2, x=0

• x=-1, x=0, x=2

• x=-2, x=0, x=1

This graph increases from...

• ( -1, 1 )

• ( 0, 4 )

• [ -1, 1 ]

• [ 0, 4 ]

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.REI.D.10