4.6 The 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

Which of the following roots match the above polynomial:

• -3,-1,4
• -3,2i,-2i

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

CCSS.HSA.APR.B.3

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.A.1

CCSS.HSN.CN.C.8

CCSS.HSN.CN.C.9

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

All imaginary roots comes in pairs.

• True
• False

Tags

CCSS.HSN.CN.C.7

CCSS.HSN.CN.C.9

What is the degree of a polynomial that has roots of -2, 4i and -4i ?

• 3
• 4
• 1
• 2

Tags

CCSS.HSA.APR.B.3

If 2i is a zero, then

• 2i repeats twice
• -2i is a zero too
• 1-2i is a zero too
• 0+2i is a zero too

Tags

CCSS.HSN.CN.C.9