Which is the product of 4x^5-6x^4+4x^3-6x^2

Question

asked Sep 22, 2019 150k views

2 Answers

HugoRune · Answer 1 · 2019-09-24T01:36:35+0000

Answer:

2 x^2 (2 x - 3) (x^2 + 1)

Explanation:

Factor the following:

4 x^5 - 6 x^4 + 4 x^3 - 6 x^2

Factor 2 x^2 out of 4 x^5 - 6 x^4 + 4 x^3 - 6 x^2:

2 x^2 (2 x^3 - 3 x^2 + 2 x - 3)

Factor terms by grouping. 2 x^3 - 3 x^2 + 2 x - 3 = (2 x^3 - 3 x^2) + (2 x - 3) = x^2 (2 x - 3) + (2 x - 3):

2 x^2 x^2 (2 x - 3) + (2 x - 3)

Factor 2 x - 3 from x^2 (2 x - 3) + (2 x - 3):

Answer: 2 x^2 (2 x - 3) (x^2 + 1)