Answer:
4(x - 5)(x - 8)
Explanation:
Given
4x² - 52x + 160 ← factor out 4 from each term
= 4(x² - 13x + 40) ← factor the quadratic
Consider the factors of the constant term (+ 40) which sum to give the coefficient of the x- term (- 13)
The factors are - 5 and - 8, since
- 5 × - 8 = + 40 and - 5 - 8 = - 13, thus
x² - 13x + 40 = (x - 5)(x - 8)
Then
4x² - 52x + 160 = 4(x - 5)(x - 8)