Roots and Fundamental Theorem of Algebra

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

• 8

• 9

• 5

• 3

The degree of the polynomial determines the number of roots.

• True

• False

Which of these is a possible rational root of the polynomials? x³ - 6x² - x + 30

• 0

• 4

• -9

• -15

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

If you know one of the roots is -2i, then another root must be

All imaginary roots come in pairs.

• True

• False

If 2i is a root, then

• 2i repeats twice

• -2i is also root

• 1-2i is also a root

• 0+2i is also a root

All imaginary roots comes in pairs.

• True

• False

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

• 1

• 4

• 3

• 8

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

• 4

• 2

• 8

• 6