Zeros, Factors and Writing Polynomial Functions

Find the root(s) of the function.

• x = 3
• x = {-3, -1, 2}
• x = {-3, 2}
• x = -1

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

Find the zero(s) of the function.

• x = 1
• x = -3
• x = {-1, 3}
• x = 2

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

Find the zeros of the function and graph.
y=(x + 2)(x - 3)(3x - 5)

• x=-2, x=3, x=5/3
• x=2, x=-3, x=-3/5
• x=2, x=-3, x=5/3
• x=-2, x=3, x=5

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

What are the solutions to the polynomial:  p(x)=(2x-1)(x² +3x +1) 
(Hint: Use quadratic formula for x²+3x+1)

• x=1/2, (-3+√5)/2, (-3-√5)/2
• x=1/2, (3+√5)/2, (3-√5)/2
• x=-1/2, (-3+√5)/2, (-3-√5)/2
• x=-1/2, (3+√5)/2, (3-√5)/2

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

What are the zeros of the function?

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

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

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

State the zeros of the polynomial (include multiplicity):
f(x) = x(x+3)²(x - 2)

• x = 0, 3, 2
• x = 0, -3 (multiplicity of 2), 2
• -3, 2
• 0, 2 (multiplicity of 3)

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

Write the cubic polynomial in factored form with 
zeros -1, 1, and 4

• (x + 1) (x - 1) (x - 4)
• x³ - 4x² - x + 4
• (x + 1) (x - 1) (x + 4)
• x³ - 4x² - x - 4

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

What are the zeros of the polynomial function?
y = x(x - 6)(x + 5)

• 0, 6, -5
• 6, -5
• 0, -6, 5
• 1, -6, 5

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

What are the zeros (x-intercepts)?

• x = 2,-2
• x = 2,-2,0
• x = 2,0
• x = -4,-2,2,0

Tags

CCSS.HSF-IF.C.7C