Add, subtract, and multiply polynomials beyond quadratic cases.
Multiply a binomial by a polynomial by distributing both terms
Problem
Expand and simplify \((x~+~2)(x^3~-~3x~+~1)\).
Big Picture
What this problem is really about
The binomial creates two complete partial products, one from x and one from 2. We’ll distribute each of those terms across the entire cubic polynomial, line up results by degree, and combine only matching powers. Organizing the work this way makes sure none of the six products is lost.
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