Add, subtract, and multiply polynomials beyond quadratic cases.
Simplify a polynomial and identify its degree and leading coefficient
Problem
Simplify \((3x^4~+~2)~+~(5x^4~-~x)\). Then identify the leading term, degree, and leading coefficient.
Big Picture
What this problem is really about
The requested features all depend on the polynomial after like terms have been combined. We’ll simplify first, order the surviving terms by descending power, and then read three pieces from the first term: the term itself, its exponent for the degree, and its numerical factor for the leading coefficient.
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