Fundamental Theorem of Algebra

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.HSN.CN.C.9

Which of these is a possible rational root of the polynomials?

x³ - 6x² - x + 30

• 0

• 4

• -9

• -15

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

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

Factor f(x)= x³ - 2x²-13x - 10  given that
(x - 5) is one factor.

• (x- 5)(x - 1)(x - 2)
• (x - 5)(x + 2)(x - 2)
• (x - 5)(x + 2) (x + 1)
• (x - 5)(2x - 13)

Tags

CCSS.HSA.APR.B.2

The largest exponent determines the degree of the polynomial.

• True
• False

• This graph has two imaginary roots because it is a polynomial of degree two.
• This graph has two imaginary roots because it has one hump.
• This graph has two imaginary roots because it touches the x-axis at two points.
• This graph is imaginary because it the graph has shifted up.

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10

What is the least degree of the graph of the above polynomial?

• 3
• 4
• 5
• Not enough information 

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

A Polynomial of Degree 6 CAN have the following number of imaginary roots:

• 1
• 4
• 3
• 8

Tags

CCSS.HSN.CN.C.9

CCSS.HSN.CN.A.1

CCSS.HSN.CN.C.8

What is the degree of the following polynomial that has 4 real roots and 2 complex roots?

• 4
• 2
• 8
• 6

Tags

CCSS.HSN.CN.C.9