Answer:
B
Step-by-step explanation:
Given
5x² + 40x - 100
To find the zeros equate to zero, that is
5x² + 40x - 100 = 0 ( divide all terms by 5 )
x² + 8x - 20 = 0
To factor the quadratic
Consider the factors of the constant term (- 20) which sum to give the coefficient of the x- term (+ 8)
The factors are + 10 and - 2, since
10 × - 2 = - 20 and 10 - 2 = + 8, thus
(x + 10)(x - 2) = 0
Equate each factor to zero and solve for x
x + 10 = 0 ⇒ x = - 10
x - 2 = 0 ⇒ x = 2
Zeros are x = - 10 and x = 2 → B
