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Factor 3x^3-15x^2+18x

User Ken Zhang
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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
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8.2k points

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