Question

Write the polynomial in standard form given the following zeros. Show all work.

Answer 1

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