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.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

What is the total number of roots for the following equation?
y = 4x⁶ - 12x⁵ - x⁴ + 2x³ - 6x² - 5x + 10

• 4
• 5
• 6
• 7

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.11

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

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.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

CCSS.HSN.CN.C.9