Answer:
- 4(x + 3)(x - 2)
Step-by-step explanation:
Given
- 4x + 24 - 4x² ← rewrite in standard form, that is
- 4x² - 4x + 24 ← factor out - 4 from each term
= - 4(x² + x - 6) ← factorise the quadratic
Consider the factors of the constant term (- 6) which sum to give the coefficient of the x- term (+ 1)
The factors are + 3 and - 2, since
3 × - 2 = - 6 and 3 - 2 = + 1, hence
x² + x - 6 = (x + 3)(x - 2), and
4x² - 4x + 24 = - 4(x + 3)(x - 2)
