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

step-by-step explanation: