I have been informed that on March 7th from 6:00am to 6:00pm Central Time Lamar University will be doing some maintenance to replace a faulty UPS component and to do this they will be completely powering down their data center.
Unfortunately, this means that the site will be down during this time. I apologize for any inconvenience this might cause.
Paul
February 18, 2026
Section 1.5 : Factoring Polynomials
1. Factor out the greatest common factor from the following polynomial.
\[6{x^7} + 3{x^4} - 9{x^3}\]Show All Steps Hide All Steps
Start SolutionThe first step is to identify the greatest common factor. In this case it looks like we can factor a 3 and an \({x^3}\) out of each term and so the greatest common factor is \(3{x^3}\) .
Show Step 2Okay, now let’s do the factoring.
\[6{x^7} + 3{x^4} - 9{x^3} = \require{bbox} \bbox[2pt,border:1px solid black]{{3{x^3}\left( {2{x^4} + x - 3} \right)}}\]Don’t forget to also identify any numbers in the greatest common factor as well. That can often greatly simplify the problem for later work (when we have later work for the problem anyway....).