Dividing, Factoring and Solving Polynomials

If you were dividing x⁶ + 4x³ + 2, how many 0's would you need when setting up the top row of your synthetic division?

• 0
• 2
• 4
• 6

Tags

CCSS.HSA.APR.D.6

Which term is missing in this problem?
2x³ + 5x² + 9 ÷
x + 3

• x⁴
• x³
• x²
• x

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

Find the remainder

(2x³ - 5x - 7) / (x + 2)

• -9

• 11

• -13

• -1

Divide: 

(4x² - 24x + 35) / (2x - 5)

• 2x - 7
• 2x - 12
• 2x + 12
• 2x + 7

Tags

CCSS.HSA.APR.D.6

(6b² - 5b - 52) ÷ (3b - 10)

• 2b - 5 +2/(3b - 10)

• 2b + 5 - 2/(3b - 10)

• 18b -15 + 3/(3b - 10)

• -2b +15 +2/(3b - 10)

Tags

CCSS.HSA.APR.D.6

Factor

• (x+3)(5x+2)(5x-2)

• (x+2)(3x-5)(3x+5)

• (x+3)(2x+5)(2x-5)

• (x-3)(2x+5)(2x-5)

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.APR.B.2

CCSS.HSA.SSE.A.2

Factor: 8x³ - 1

• (2x - 1)(4x² + 2x + 1)
• (2x + 1)(4x² - 2x + 1)
• (2x - 1)(4x² - 2x - 1)
• (2x + 1)(4x² +2x + 1)

Tags

CCSS.HSA.APR.C.4

Use the Rational Root Theorem to determine the list of possible rational roots.

• A
• B
• C
• D

Tags

CCSS.HSA.APR.B.3

How many total roots/zeros are there in the polynomial.   

• A
• B
• C
• D

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.APR.B.2