Add, subtract, and multiply polynomials beyond quadratic cases.
Multiply a monomial by a polynomial using the distributive property
Problem
Expand \(3x^2(2x^4~-~x~+~5)\).
Big Picture
What this problem is really about
This product uses distribution: the monomial outside the parentheses must multiply every term inside. For each product, we’ll multiply the numerical coefficients and add exponents on matching x factors, while carrying each sign carefully. Once all three products are written, they already form the expanded polynomial.
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