Factor 4x2 - 22x + 30

2 (2x - 5) (x - 3)

Step-by-step explanation:

4x² - 22x + 30

First, factor out a 2:

2 (2x² - 11x + 15)

Use AC method to factor.

2 * 15 = 30

Factors of 30 that add up to - 11 are - 5 and - 6.

Divide by a and reduce: - 5/2, - 6/2 = - 3/1

The factors are 2x - 5 and x - 3.

2 (2x - 5) (x - 3)

Factor by grouping. For a polynomial of the form ax2+bx+c a x 2 + b x + c, rewrite the middle term as a sum of two terms whose product is a⋅c=2⋅15=30 a ⋅ c = 2 ⋅ 15 = 30 and whose sum is b=-11 b = - 11.