A student writes: “The polynomial has degree and

MATHEMATICS · Single correct · GCSE · Mathematics · Algebra · Algebra

Problem

A student writes: “The polynomial r(x)=0r(x)=0 has degree 00 and, since it consists of a single term, it is a monomial.” Which option best describes the error in this statement? (a) The zero polynomial has degree 00 and, having just one term, it is correctly called a monomial. (b) Because it can be written as 0x2+0x+00x^{2}+0x+0, its highest power is 22, so the zero polynomial is a trinomial of degree 22.},{ (c) The zero polynomial has no degree, and it cannot be classified by the number of terms. (d) The expression 00 is not considered a polynomial at all, so talking about its degree or terms is meaningless.

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