Fundamental Theorem of Algebra

What is the Degree of this polynomial:
f(x)= x³(x + 3)²(x – 5)

• Degree: 6
• Degree: 5
• Degree: 3
• Degree: 2

How many zeros does the following function have?
f(x)= x⁵ - 3x³ + x

• 8
• 9
• 5
• 3

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

The degree of the polynomial determines the number of roots.

• True
• False

Tags

CCSS.HSA.APR.B.3

Use the Fundamental Theorem of Algebra to state the number of zeros/solutions/roots of the polynomial. 

• A
• B
• C
• D

Tags

CCSS.HSA.APR.B.3

CCSS.HSN.CN.C.9

Use the Fundamental Theorem of Algebra to state the number of zeros/solutions/roots of the polynomial. 

• A
• B
• C
• D

Tags

CCSS.HSA.APR.B.3

CCSS.HSN.CN.C.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

The Fundamental Theorem of Algebra tell us two things. Which of the options does not come from the Fundamental Theorem of Algebra?

• A nth degree polynomial has at least 1 complex solution
• An nth degree polynomial always has 2 x-intercepts
• A nth degree polynomial has n solutions.

Tags

CCSS.HSN.CN.C.9

Find the zeros of the polynomial given one factor. Use synthetic division.

• X= 3,4,5

• x=-3,-4,-5

• x=-3,4,5

• x= 3, -4, -5

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

State how many of each type of possible solution the following polynomial has

f(x) = -4x⁴ + x³ +11x² - 4x + 8

• Positive: 3 or 1

  Negative: 1

• Positive: 3

  Negative: 1

• Positive: 1

  Negative: 3 or 1

• Positive: 1

  Negative: 3

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

How many possible negatives solutions does the following polynomial have?

f(x) = x⁴ - 3x³ - 17x² + 39x -20

• 3 or 1

• 3

• 1

• 2 or 0

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3