Answer:
(x + 10)(x - 5)
Explanation:
given
x² + 5x - 50
consider the factors of the constant term (- 50) which sum to give the coefficient of the x- term (+ 5)
the factors are + 10 and - 5 , since
+ 10 × - 5 = - 50 and + 10 - 5 = + 5
use these factors to split the x- term
x² + 10x - 5x - 50 ( factor the first/second and third/fourth terms )
= x(x + 10) - 5(x + 10) ← factor out (x + 10) from each term
= (x + 10)(x - 5) ← in factored form