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Question:

Classify the following polynomials as monomials, binomials, and trinomials. Which polynomial do not fit in any of these three categories?

Solution:

Monomials : 1000, pqr
Binomials : x+y, 2y²y², 4z⁴z², p²q+pq², 2p+2q
Trinomials : 7+y+5x, 2y−y²+4y³, 5xy+3xy
Polynomials that do not fit in any of these categories are : x+x²+x³+x⁴, ab+bc+cd+da