Algebra - Polynomials

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

\[12y\left( {3{y^4} - 7{y^2} + 1} \right)\]

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Start Solution

All we need to do is multiply the 12\(y\) through the second polynomial. Here is the result of doing that.

\[12y\left( {3{y^4} - 7{y^2} + 1} \right) = \require{bbox} \bbox[2pt,border:1px solid black]{{36{y^5} - 84{y^3} + 12y}}\] 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 five.