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Write the polynomial in standard form given the following zeros. Show all work.
(hint; the polynomials are of degree 3)

1. x = -3i, x=2



2. x = 3(multiplicity 2), x = -1



Please show work I need it please and thanks fir Hu ever answers it

Sagot :

Mhanifaidn

Answer:

  • x³ - 2x² + 9x - 18
  • x³ - 5x² + 3x + 9

Step-by-step explanation:

1.

Zero's

  • x = -3i, x = 2 and the third zero is x = 3i

Polynomial is:

  • (x + 3i)(x - 3i)(x - 2) =
  • (x² - 9i²)(x - 2) =
  • (x² + 9)(x - 2) =
  • x³ - 2x² + 9x - 18

2.

Zeros:

  • x = 3, x = 3, x = -1

Polynomial is:

  • (x - 3)(x - 3)(x + 1) =
  • (x² - 6x + 9)(x + 1) =
  • x³ + x² - 6x² - 6x + 9x + 9 =
  • x³ - 5x² + 3x + 9
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