Polynomials

What are the roots of the polynomial function?
y = (x + 2)(x - 7)³

• -2, 7 multiplicity 3
• -2, 7, 3
• 2, -7 multiplicity 3
• 2, -7, 3

Tags

CCSS.HSF-IF.C.7C

Which zero has even multiplicity?

• 1
• -4
• -1
• 2

Tags

CCSS.HSA.APR.B.3

Select polynomial whose zeros and degree are given.
Zeros: – 5(multiplicity of 3), 9(multiplicity of 2), – 2, 4.

• (x + 5)³(x - 9)²(x + 2)(x - 4)
• (x + 5)³(x - 9)²(x + 2)⁷(x - 4)⁷
• (x + 5)³(x - 9)²(x + 2)
• (x + 5)(x - 9)(x + 2)(x - 4)

Tags

CCSS.HSA.APR.B.3

What is the end behavior for the given polynomial?
y = x² - 4x + 5
Written as x -> negative infinity,  and x-> positive infinity

• down and down
• down and up
• up and down
• up and up

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

What is the end behavior for the given polynomial?
y = -6x³ - 2
Written as x -> negative infinity,  and x-> positive infinity

• down and down
• down and up
• up and down
• up and up

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

Convert to vertex form.

• y=3(x+1)² - 8
• y=3(x-1) ² - 8
• y=3(x+2)² - 8
• y=3(x-2)² - 8

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

What is the y-intercept of f(x)? $5x^{3\ }+2x^2\ -\ x\ +4$  

• (-1, 0)

• (0, -4)

• (4, 0)

• (0, 4)

Tags

CCSS.HSF-IF.C.7C

If given the equation
y = 3(x + 5)² - 4,
what is the vertex of the parabola?

• (5, -4)

• (-5, -4)

• (-15, -4)

• (15, -4)

Convert the equation

f(x) = x² - 12x + 40

into vertex form

• f(x) = (x + 6)² - 4

• f(x) = (x + 6)² + 4

• f(x) = (x - 6)² - 4

• f(x) = (x - 6)² + 4

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

• y = x(x - 3)(x - 2)
• y = x(x - 3)² (x+2)
• y = x(x + 3)² (x - 2)
• y = -x(x + 3)² (x - 2)

Tags

CCSS.HSA.APR.B.3