Polynomials

List all the possible rational zeros 
h(x) = x³ - 5x²+2x+12

• 1,2,3,4,6,12
• 1,2,6,12
• 1,2,3,4,6,12,-1,-2,-3,-4,-6,-12

Tags

CCSS.HSA.APR.B.2

According to the Rational Root Theorem, what are the all possible rational roots? 
2x³ - 11x² + 12x + 9 = 0

• ±1,±2
• ±1,±3,±9
• ±1,±3±9,±1/2,±3/2,±9/2
• ±1,±2,±1/3,±2/3,±1/9,±2/9

Tags

CCSS.HSA.APR.B.3

What are the zeros of the function?

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

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

Find all of the rational zeros of each function. 
q(x) = x³+3x²-6x-8

• 1, 2, 4, 8, -1, -2, -4, -8
• -4, -1, 2
• 1, 2, 4 

Tags

CCSS.HSF-IF.C.7C

Use synthetic division to divide the following polynomials:

3x³ - 2x² - 7x + 6 ÷

x + 1

• 3x³ - 5x² - 2x + 8

• 3x² + x - 6

• 3x² - 5x - 2 + 8/x+1

• 3x³ + x² - 6x

Tags

CCSS.HSA.APR.D.6

List all possible rational zeros
f(x) = 3x⁵-5x²+x+6

• 1, 2, 3, 6, -1, -2, -3, -6
• 1/3,2/3,1,2,3,6,-1/3,-2/3,-1,-2,-3,-6
• 1/3,2/3,1,2,3,6

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

According to the Rational Root Theorem, what are the all possible rational roots? 
2x³ - 11x² + 12x + 9 = 0

• ±1,±2
• ±1,±3,±9
• ±1,±3±9,±1/2,±3/2,±9/2
• ±1,±2,±1/3,±2/3,±1/9,±2/9

Which of these is a possible root of the polynomials?
x³ - 6x² - x + 30

• 0
• 4
• -9
• -15

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

What is the remainder of  (3x³ -5x² -4x +1) ÷ (x + 3)?

• -25
• 25
• 113
• -113

Tags

CCSS.HSA.APR.B.2

Which of the following is a factor of
f(x) = x³-3x²-6x+8  ?

• x-4
• x+1
• x-2
• x+3

Tags

CCSS.HSA.APR.B.2