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Chapter 0: Problem 3

Factor out the greatest common factor. $$3 x^{2}+6 x$$

Short Answer

Expert verified
\The factored form of \(3x^2 + 6x\) is \(3x(x + 2)\)

Step by step solution

01

Identify the Greatest Common Factor

First, identify the greatest common factor (GCF) among all the terms. In this case, the GCF is \(3x\) which is present in both \(3x^2\) and \(6x\).
02

Factor Out the GCF

Next, factor out the GCF from each term by dividing each term of the polynomial by the GCF. This gives us, \(3x(1x + 2)\).
03

Check the Answer

To ensure the answer is correct, distribute \(3x\) back into the parenthesis. If the result equals the original expression, the factored version is correct. \n Distribute: \(3x*x + 3x*2 => 3x^2 + 6x\) which is equal to original expression. Hence solution is correct.

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