Solving Polynomials

5.6 - The Fundamental Theorem of Algebra
Identify the number of solutions or zeroes.

• 5 zeroes

• 3 Zeroes

• 7 Zeroes

• 4 Zeroes

Find all of the zeroes of the polynomial function

• 5, -2, 2

• -5, -2, 2

• -5, 2

• 2, -2

Find all of the zeroes of the polynomial function

• -7, 7

• -7, 7, i

• -7, 7, i, -i

• -7, 7, -i

5.8 - Analyzing Graphs of Polynomials
Graph the function. Identify the x-intercepts.

• x = -5, -2, 2, and 5

• x = -5, 5

• x = -2, 2

• x = -5, -2, 0, 2, 5

Subtract the following polynomials:
(3x²-3x+2)-(x²-2x+1)

• 2x²+x+1

• 2x²-5x+3

• 2x²-x+1

• 4x²-5x+3

Add the following polynomials:
(x³-2x²+3)+(2x³+3x²-1)

• 3x³-2x²+3x+2

• 3x³+x²+2

• 3x³-5x²-2

• 3x³-x²+1

• A

• B

• C

• D

What is the first step in solving this equation?

• subtract 3 to both sides

• subtract the 6 - 2

• distribute 2

• distribute -2

Solve:
2(4x-3) - 8 = 4 + 2x

• x = 5/3

• x = 3

• x = 1

• x = 2

Does the following equation have one solution, no solutions, or infinitely many solutions? 5x + 4 = 2x + 4

• One

• None

• Infinite

• This cannot be determined