91.1k views
2 votes
Factor 3x^3-15x^2+18x

User Ken Zhang
by
8.1k points

2 Answers

4 votes
Answer: 3x(x - 2)(x - 3)

To factor 3x^3 - 15x^2 + 18x, you can first factor out the greatest common factor of the terms, which is 3x:

3x(x^2 - 5x + 6)

Next, factor the quadratic expression in parentheses:

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

Therefore, the factored form of 3x^3 - 15x^2 + 18x is 3x(x - 2)(x - 3).
3 votes

Explanation:

First, factor out a '3x' from all of the terms to get

3x (x^2 -5x+ 6) then further factor the underlined portion to get

3x (x-3)(x-2) Done.

User Sucrenoir
by
8.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories