Write a polynomial in standard form with zeros 1, 2, and - 5.

a. x3 - 2x2 + 13x - 10 = 0

b. x3 - 4x2 + 17x + 10 = 0

c. x3 + 2x2 - 13x + 10 = 0

d. x3 + 6x2 - 3x + 10 = 0

The answer to your question is letter C

Step-by-step explanation:

With zeros 1, 2 and - 5

Process

1. - Equal the zeros to x

x₁ = 1 x₂ = 2 x₃ = - 5

x₁ - 1 = 0 x₂ - 2 = 0 x₃ + 5 = 0

2. - Write the roots as a product

(x - 1) (x - 2) (x + 5) = 0

3. - Multiply the zeros

(x - 1) (x - 2) = x² - 2x - x + 2

Simplify = x² - 3x + 2

(x + 5) (x² - 3x + 2) = x³ - 3x² + 2x + 5x² - 15x + 10

Simplify like terms and result

= x³ + 2x² - 13x + 10