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Section 1.4 : Polynomials

5. Perform the indicated operation and identify the degree of the result.

\[\left( {3x + 1} \right)\left( {2 - 9{x^2}} \right)\]

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All we need to do is foil out the two polynomials. Here is the result of doing that.

\[\left( {3x + 1} \right)\left( {2 - 9{x^2}} \right) = \require{bbox} \bbox[2pt,border:1px solid black]{{2 + 6x - 9{x^2} - 27{x^3}}}\] Show Step 2

Remember 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.