Answer:
2(x + 3)(x - 1)
Explanation:
Given
2x² + 4x - 6 ← factor out 2 from each term
= 2(x² + 2x - 3) ← factor the quadratic
Consider the factors of the constant term (- 3) which sum to give the coefficient of the x- term (+ 2)
The factors are + 3 and - 1 , since
3 × - 1 = - 3 and 3 - 1 = + 2 , then
x² + 2x - 3 = (x + 3)(x - 1) , so
2x² + 4x - 6 = 2(x + 3)(x - 1) ← in factored form