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12 votes
12 votes
Factor the following by taking on the greatest common factor 14a^3 + 35a^2 +42a

User Tinytree
by
2.4k points

1 Answer

10 votes
10 votes

Let's break apart each term into its factors:


\begin{gathered} 14a^3=2\cdot7\cdot a\cdot a\cdot a \\ 35a^2=5\cdot7\cdot a\cdot a \\ 42a=2\cdot3\cdot7\cdot a \end{gathered}

The common factors are

7 * a

That is,


7\cdot a=7a

Now, factorizing the expression, we have:


\begin{gathered} 14a^3+35a^2+42a \\ =7a(2a^2+5a+6) \end{gathered}Answer
7a(2a^2+5a+6)

User Steve Saporta
by
2.9k points
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