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 1.4 : Polynomials
1. Perform the indicated operation and identify the degree of the result.
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Start SolutionHere is the operation we’re being asked to perform.
\[\left( {4{x^3} - 2{x^2} + 1} \right) + \left( {7{x^2} + 12x} \right)\]Note that the parenthesis are only there to illustrate how each polynomial is being used in the indicated operation and are not needed (or used) in general.
Here’s the result of the operation.
\[\left( {4{x^3} - 2{x^2} + 1} \right) + \left( {7{x^2} + 12x} \right) = \require{bbox} \bbox[2pt,border:1px solid black]{{4{x^3} + 5{x^2} + 12x + 1}}\] Show Step 2Remember the degree of a polynomial is just the largest exponent in the polynomial and so the degree of the result of this operation is three.