M3 ~ Unit 3 ~ Polynomial Review

Factor Completely     54a³-128

• 2(3a-4)(9a²+12a+16)
• 2(3a-4)(9a²-12a+16)
• 2(3a+4)(3a²+12a+16)
• (3a-4)³

Tags

CCSS.HSA.APR.C.4

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

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

Tags

CCSS.HSF-IF.C.7C

Find a polynomial function with the given zeros: 3i and -2.

• P(x) = x³+2x²+9x+11
• P(x) = x³-2x²+9x-18
• P(x) = x³+2x²+9x+18
• P(x) = x²-3ix+2x-6i

Tags

CCSS.HSA.APR.B.3

the number of times a root occurs at a given point of a polynomial equation

• multiplicity
• divinity
• infinity
• solutions

The remainder when you divide g(x) by (x -4 ) is 0. What must be true?

• The function has a root at (-4, 0)
• The function crosses through the x-axis at (-4, 0)
• The function has a root at (4, 0)
• The function touches the x-axis at (4, 0)

A polynomial  factors as 
 f(x) =  x³(x + 1)²(x - 4). List the zeros of f(x) and their multiplicity.

• 0 multiplicity 3, 1 multiplicity 2, -4 multiplicity 1
• 0 multiplicity 3, -1 multiplicity 2, 4 multiplicity 1
•  1 multiplicity 2, -4 multiplicity 1
•  -1 multiplicity 2, 4 multiplicity 1

Tags

CCSS.HSF-IF.C.7C

Fully Factor the Following
216x³+125

• 6(x+5)³
• (6x+5)³
• (6x+5)(6x²-30x+25)
• (6x+5)(36x²-30x+25)

Tags

CCSS.HSA.APR.C.4

Find all zeros of the polynomial function P(x) = x³+6x²+9x+54

• 6, 3, -3
• -6, 3, -3
• -6, 3i, -3i
• 6, 3i, -3i

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

How many zeros does the polynomial function
 P(x) = 3x⁴+4x-8 have?

• 1
• 2
• 3
• 4

Tags

CCSS.HSA.APR.B.3

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

• f(x) = (x+2)(x-1)(x-4)

• f(x) =x³ - 3x² - 6x + 8

• f(x) = x³ + 8

• f(x) = x³ - 3x² + 8

Tags

CCSS.HSA.APR.B.3