Question

What are the steps to factor 36x - 49x^3?

Answer 1

First extract common factor x,
\[x(36-49x^2)\]
Then solve the second product,
\[36-49x^2=0\Rightarrow x=\pm\frac{6}{7}\]
So, we have solve
\[x(x-6/7)(x+6/7)=0\]
Manipulating, to express in factors
\[x(7x-6)(7x+6)\]