Question

Factor 4x2 – 22x + 30

Answer 1

2 (2x – 5) (x – 3)

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)

Answer 2

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 .

Explanation: