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Section 1.4 : Polynomials
7. Perform the indicated operation and identify the degree of the result.
\[\left( {4{x^6} - 3x} \right)\left( {4{x^6} + 3x} \right)\]Show All Steps Hide All Steps
Start SolutionAll we need to do is foil out the two polynomials. Here is the result of doing that.
\[\left( {4{x^6} - 3x} \right)\left( {4{x^6} + 3x} \right) = \require{bbox} \bbox[2pt,border:1px solid black]{{16{x^{12}} - 9{x^2}}}\] 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 twelve.