Rational Zeros Theorem

Q. Which of the following is a COMPLETE  list of all possible Rational Zeros?

f(x) = x³ + 2x² - 6x + 8

• ±1, ±8

• ±1, ±2, ±4

• ±1, ±2, ±4, ±8

• 1, 2, 4, 8

Tags

CCSS.HSA.APR.B.2

Q. Which of the following is a COMPLETE  list of all possible Rational Zeros?

f(x) = 3x³ + 2x² - 6x + 7

• ±1, ±7, ±1/3, ±7/3

• ±1, ±3, ±7, ±7/3

• ±1, 7

• ±1, ±3, ±7, ±1/3, ±7/3

Tags

CCSS.HSA.APR.B.2

Q. 

Which of the following is a COMPLETE  list of all possible Rational Zeros?

f(x) = 2x³ + 5x² - 9x + 5

• ±1, ±5

• ±1, ±5, ±1/2, ±5/2

• ±1, ±2, ±5, ±1/2, ±5/2

• ±1, ±2, ±5, ±1/2, ±5/2, ±2/5

Tags

CCSS.HSA.APR.B.2

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

• Yes, (x-2) is a factor. There is a remainder.

• Yes, (x-2) is a factor. The remainder is zero.

• No, (x-2) is  not 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 when x³ - 4 is divided by x + 2?

• 0

• -2

• -6

• -12

Tags

CCSS.HSA.APR.B.2

 

(2x³ - 5x² + 3x + 7) ÷ (x - 2)

• 2x³ - x² + x + 9

• 2x² - x + 1 +

  9/(x - 2)

• 2x² - 9x - 15 -

  23/(x - 2)

• 2x² - x + 1

Tags

CCSS.HSA.APR.D.6

Write the simplest polynomial in standard form given the following zeros. x = -2, 1, 4

Tags

CCSS.HSA.APR.B.3

Write a polynomial function of least degree for the given zeros:

• A

• B

• C

• D

Tags

CCSS.HSA.APR.B.3

For the following problems write the simplest polynomial function with the given zeros: 7 with multiplicity of 2, and -3

Tags

CCSS.HSA.APR.B.3

Find all zeros for the polynomial function P(x) = x³ -3x²-5x+15

• 3, √5 
• 3, √5, -√5
• -3, √5, -√5
• -3, 5i, -5i