One x-intercept for a parabola is at the point (-5,0). use the factor method to find the other x-intercept for the parabola defined by this equation: y=x2 + 3x - 10 separate the values with a comma.

(2, 0)

Step-by-step explanation:

Given

y = x² + 3x - 10

To find the x- intercepts let y = 0, that is

x² + 3x - 10 = 0 ← in standard form

Consider the factors of the constant term (- 10) which sum to give the coefficient of the x- term (+ 3)

The factors are + 5 and - 2, since

5 × - 2 = - 10 and 5 - 2 = + 3, hence

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

Equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

x - 2 = 0 ⇒ x = 2

x- intercepts are (- 5, 0) and (2, 0)

24

step-by-step explanation: