Polynomial zeros and factors

Which of the following is a COMPLETE  list of all possible Rational Zeros?
f(x) = x³ + 2x² - 6x + 8

• ±1, 8
• ±1, 2, 4, 8
• ±1, 2, 4
• 1, 2, 4, 8

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

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, 7
• ±1, 3, 7, 7/3
• ±1, 3, 7, 1/3, 7/3

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

Which of the following is a COMPLETE  list of all possible Rational Zeros?
f(x) = 2x³ + 5x² - 9x + 5

• ±1, 5, 1/2, 5/2
• ±1, 2, 5, 1/2, 5/2
• ±1, 5
• ±1, 2, 5, 1/2, 5/2, 2/5

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

Below are four possible zeros for this polynomial.
Figure out which one "works" and can be used to find the others.
f(x) = x³ - 8x² - 23x + 30

• 3
• -1
• -10
• 1

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

Below are four possible zeros for this polynomial.
Figure out which one "works" and can be used to find the others.
f(x) = x³ + 2x² - 11x - 12

• -3
• -4
• 1
• 6

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

            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

Solve for the values of x:
(x - 3)(x + 6) = 0

• { -3, -6 }
• { 3, -6 }
• { -3, -6 }
• { 3, 6 }

Tags

CCSS.HSA-REI.B.4B

Solve for the values of x:

(x - 5)(x - 1) = 0

• (5, 0) or (1, 0)

• (-5, 0) or (-1, 0)

• (0, -5) or (0, -1)

• (0, 5) or (0, 1)

Tags

CCSS.HSA-REI.B.4B

Solve for the values of x:

3(x - 5)(x - 5) = 0

• { 5 }

• {0, 5 }

• { -5, -5 }

• { -5, 5, 0 }

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4