Algebra Unit 7 Polynomials Review

5.5 - Solving Polynomial Equations
Write a function in factored form for the graph.

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

• 4 zeroes

• 2 Zeroes

• 7 Zeroes

• 25 Zeroes

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

5.6 - The Fundamental Theorem of Algebra
Find all of the zeroes of the polynomial function
g\left(x\right)=x^4-48x^2-49

• -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

• local min: (0, 100)

  
  

  local max: (-3.81, -110.25) and (3.81, -110.25)
  

• local max: (0, 100)

  
  

  local min: (-3.81, -110.25) and (3.81, -110.25)
  

Which polynomial is written in standard form?

• -3x + 8x² + 9x³ - 11

• 9x³ + 8x² - 3x - 11

• 8x² + 9x³ -11 - 3x

• -11 - 3x + 8x² + 9x³

Multiply using FOIL

• x² - 5x + 5

• x² - 9x - 14

• x² - 5x - 14

• x² + 5x - 14

What is the next step in synthetic division?

• Multiply the 9 and 6

• Add the 6 and -58

• Bring down the -58

• Divide the -58 by 6