Solving Polynomial Functions/Synthetic Division

            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

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

• 0
• -3
• 9
• 5

Tags

CCSS.HSA.APR.B.2

Find all the zeros, given that f(-3) = 0
f(x) = 2x³+5x²-6x-9

• -1,-3,-3
• -1,-3,3/2
• 3,3,3
• -3,2/3,-1

Tags

CCSS.HSF-IF.C.7C

What is the quotient when (10n² - 37n - 12) is divided by (n - 4)?

• (10n - 3)
• (3n - 10)
• (10n + 3)
• (3n + 10)

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

• 6

• 5

• 1

• 9

• -4 multiplicity 1, -8 multiplicity 1, 5 multiplicity 3

• 4 multiplicity 2, 8 multiplicity 3, -5 multiplicity 1

• 4 multiplicity 3, 8 multiplicity 2, -5 multiplicity 1

• -4 multiplicity 2, -8 multiplicity 3, 5 multiplicity 1

Tags

CCSS.HSF-IF.C.7C

How many roots should the polynomial function

P(x) = 3x⁴+4x-8 have?

• 1

• 2

• 3

• 4

What are the roots of the function?

• 4,1

• 3,1,-2,-5

• -3, -1, 2, 5

• -2,4

Which choice is correct?

• The zero at −2 has a multiplicity of 3.

• This function has one real zero at -2.

• This function has one real zero at 2.

• The zero at −2 has a multiplicity of 2.

Tags

CCSS.HSF-IF.C.7C