Answer:
x = - 5 , x = 2
Explanation:
f(x) = x² + 3x - 10
to find the zeros let f(x) = 0 , that is
x² + 3x - 10 = 0
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 , then
(x + 5)(x - 2) = 0 ← in factored form
equate each factor to zero and solve for x
x + 5 = 0 ( subtract 5 from both sides )
x = - 5
x - 2 = 0 ( add 2 to both sides )
x = 2
the zeros are x = - 5 , x = 2