Answer:
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
