Hello!
First, let’s take a look at our terms.
5x^3 + 10x^2 + 35x
All of our terms have an x, so we can factor out this expression/trinomial with our variable. Now, let’s find the GCF (Greatest Common Factor) for our coefficients (or our numbers).
5x^3 + 10x^2 + 35x
Each of these have a factor of 5, so divide each term by 5x (since all our terms have an ‘x’). While we do this, write our GCF outside of a parenthesis and divide our terms by the GCF. The quotient will be inside of our parenthesis.
5x^3 + 10x^2 + 35x
5x(x^2 + 2x + 7)
The terms inside of the parenthesis are our simplified factors; x^2 + 2x + 7.
I hope this helps!