Algebra 2 - Unit 5 Quiz 2 Review

5.5 - Solving Polynomial Equations
Solve the equation.

 $a^3-4a^2+4a=0$  

• a = 0

• a = 2

• a = -2, 0

• a = 2, 0

5.5 - Solving Polynomial Equations
Solve the equation.

 $3y^4-6y^3=-3y^2$  

• a = 0 (repeated)

• a = 1 (repeated)

• a = 1 (repeated), 0 (repeated)

• a = -1 (repeated), 0 (repeated)

5.5 - Solving Polynomial Equations
Find the zeroes of the function.

 $g\left(x\right)=-x^3-x^2+30x$  

• a = -6, 0, 5

• a = 6, 0, -5

• a = 6, -5

• a = -6, 5

5.5 - Solving Polynomial Equations
Find the zeroes of the function.

 $f\left(x\right)=-5x^4+20x^3+60x^2$  

• a = -2, 6

• x = 2, -6

• x = 2, 0, -6

• x = -2, 0, 6

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

•  $f\left(x\right)=\left(x-2\right)^2\left(x+1\right)^2$  
  

•  $f\left(x\right)=\left(x+2\right)\left(x-1\right)$  
  

•  $f\left(x\right)=\left(x+2\right)^2\left(x-1\right)^2$  
  

•  $f\left(x\right)=\left(x+2\right)\left(x-1\right)$ 

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

 $f\left(z\right)\ =-7z^4+z^2-25$  

• 4 zeroes

• 2 Zeroes

• 7 Zeroes

• 25 Zeroes

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

 $g\left(s\right)=4s^5-s^3+2s^7-2$  

• 5 zeroes

• 3 Zeroes

• 7 Zeroes

• 4 Zeroes

5.6 - The Fundamental Theorem of Algebra
Find all of the zeroes of the polynomial function

 $f\left(x\right)=x^3+5x^2-4x-20$  

• 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.

 $f\left(x\right)=x^4-29x^2+100$  

• x = -5, -2, 2, and 5

• x = -5, 5

• x = -2, 2

• x = -5, -2, 0, 2, 5