Review Solving and Graphing Polynomials

Solve the following.  $y=3x^3-15x^2-72x$  

(select all that apply)

•  $\left(-3,0\right)$  

•  $\left(8,0\right)$  

•  $\left(-7,0\right)$  

•  $\left(0,0\right)$  

Solve the following.  $y=3x^3+11x^2-4x$  

(select all that apply)

•  $\left(-4,0\right)$  

•  $\left(\frac{1}{3},0\right)$  

•  $\left(1,0\right)$  

•  $\left(0,0\right)$  

True or false:
The solution, root, x-intercept, and zero of a problem are all the same thing.

• True
• False, because the solution and root are the same but the x-intercept and zero are different
• False, because the x-intercept and root are the same but the zero and solution are different
• False, they are all different

• x=0

  x=-2

  x=-1

• x=0

  x=2

  x=1

• x=0

  x=-2

  x=1

• x=-2

  x=-1

What are the zeros (x-intercepts)?

• x = 2,-2
• x = 2,-2,0
• x = 2,0
• x = -4,-2,2,0

Which method would be best to solve the equation (x² + 2x - 8 = 0) in standard form?

• Factoring

• Quadratic Formula

• Completing the Square

• Taking Square Roots

• a
• b
• c
• d

Select polynomial whose zeros and degree are given.
Zeros: – 5(multiplicity of 3), 9(multiplicity of 2), – 2, 4
Degree: 7

• (x + 5)³(x - 9)²
  (x + 2)(x - 4)
• (x + 5)³(x - 9)²
  (x + 2)⁷(x - 4)⁷
• (x + 5)³(x - 9)²(x + 2)
• (x + 5)(x - 9)(x + 2)
  (x - 4)

Solve by factoring:  $x^2-9x+20=0$  

• x = - 4 and x = - 5

• x = 20 and x = - 9

• x = 4 and x = 5

• x = - 4 and x = 5

• Positive Odd
• Positive Even
• Negative Odd
• Negative Even