Polynomials and Complex Numbers

Which formula is the Fundamental Theorem of Algebra Formula?

• There are infinitely many rationals between two reals.
• Every polynomial equation having complex coefficents and degree greater than the number 1 has at least one complex root.
• There are infinitely many prime numbers.
• All numbers are rational numbers.

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

• 4
• 2
• 8
• 6

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

• 1
• 4
• 3
• 8

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

• 3
• 4
• 5
• Not enough information 

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

• 3
• 4
• 1
• 2

The degree of the polynomial determines the number of roots.

• True
• False

• This graph has two imaginary roots.
• This graph has two real roots.
• This graph has one imaginary root.
• This graph has one real root.

• This graph has two real roots.
• This graph has one real root.
• This graph has one imaginary root.
• This graph has two imaginary roots.

What is the leading coefficient?

• Positive 
• Negative

What is the leading coefficient?

• Positive
• Negative