Finding Real Zeros of a Polynomial

Use the Fundamental Theorem of Algebra to state the number of zeros/solutions/roots of the polynomial. 

• A

• B

• C

• D

Find all zeros, one factor has been given.

f(x) = x³-3x²-x+3; (x-3)

• 2,4,3

• -1,1,3

• 3,2,1

• 4,5,6

Find all solutions, one factor has been given.

f(x) =x³-3x²-25x+75; (x-5)

• 5,-3,5

• 5,5,5

• 3,-5,5

• 1,1,1

2c. List the roots/solutions.

• x = -1, 0, 1

• x = -1

• x = 0, 1, 1

• x = -1, 1

• x = -4, -4, -4

• x = 0, 1, -4

• x = 4i, 0

• x = -4, -4, 0

Find all the zeros of the polynomial function:

Find all the zeros of the polynomial function:

List the roots/solutions.

• x = -1, 0, 1, 3, 3

• x = -1, 1, 3

• x = 1, 3

• x = -1, 2, 0, 3

If I told you that the graph of #1 came from a 7^th degree polynomial, describe the possible list of solutions.

2e. If this was a fifth degree polynomial function, how many zeros are real and how many are imaginary?