Answer:
- (x - 4)(x - 11)
Step-by-step explanation:
Given
- x² + 15x - 44 ← factor out - 1 from each term
= - 1 (x² - 15x + 44) ← factor the quadratic
Consider the factors of the constant term (+ 44) which sum to give the coefficient of the x- term ( - 15)
The factors are - 4 and - 11 , since
- 4 × - 11 = + 44 and - 4 - 11 = - 15 , thus
x² - 15x + 44 = (x - 4)(x - 11) and
- x² + 15x - 44 = - (x - 4)(x - 11)
