Factors and Zeros of Polynomial Graph

If the problem asks you to factor a polynomial knowing that (x - 5) is a factor, what number do you synthetically divide by?

• -5

• 5

Find the polynomial that the degree of 3 and has zeros: x = 3, -1, 2

• (x-3)(x+1)(x-2)

• (x+3)(x-1)(x+2)

• Don't count this one because I need to study more and retake it.

Find the polynomial that the degree of 4 and has zeros: x = 4i, 1, 2 

• (x+4i)(x-4i)(x-1)(x+2)

• (x-4i)²(x-1)(x+2)

• (x+4i)(x-4i)(x+1)(x-2)

• (x+4i)²(x+1)(x-2)

• is the graph of
  y = x² - 2x + 4
• is the graph of
  y = -x² - 2x + 4

• 13

• 20

• 101

• 7

• -2,1,0

• -2,-3,-4

• 4,3,-2

• 0,0,0

Which best describes the multiplicity of a root?

• It is the number of times the corresponding factor is repeated

• It is the highest degree of the polynomial

• It is the number of times x is multiplied by itself

• It is the number of x-intercepts on a graph

• 0

• 4

• -9

• -15

Find the zeros of the polynomial given one factor. Use synthetic division.

• X= 3,4,5

• x=-3,-4,-5

• x=-3,4,5

• x= 3, -4, -5

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)