Join the conversation on IDNLearn.com and get the answers you seek from experts. Get accurate and detailed answers to your questions from our dedicated community members who are always ready to help.
Answer:
4(x + 5)(x - 3)
Step-by-step explanation:
Given
4x² + 8x - 60 ← factor out 4 from each term
= 4(x² + 2x - 15) ← factor the quadratic
Consider the factors of the constant term (- 15) which sum to give the coefficient of the x- term (+ 2)
The factors are + 5 and - 3 , since
+ 5 × - 3 = - 15 and + 5 - 3 = + 2, then
x² + 2x - 15 = (x + 5)(x - 3)
Then
4x² + 8x - 60 = 4(x + 5)(x - 3) ← in factored form