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2.Classify the following polynomials as monomials, binomials, trinomials. Which polynomials do not fit in any of these three categories? \(x + y, 1000, x + x^2 + x^3 + x^4, 7 + y + 5x, 2y – 3y^2, 2y – 3y^2 + 4y^3\),\( 5x – 4y + 3xy, 4z – 15z^2, ab + bc+cd + da, pqr, p^2q + pq^2, 2p + 2q.\)


Answer :

The calssification of the given expressions are:

Monomials : 1000, pqr

Binomials : \(x + y, 2y – 3y^2, 4z -15z^2, p^2q + pq^2, 2p + 2q.\)

Trinomials : \(7 + y + 5x, 2y – 3y^2 + 4y^3, 5x – 4y + 3x.\)

And the polynomials which don't have any category:

\(x + x^2 + x^3 + x^4, ab + be + cd + da.\)

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