What are monomials, binomials, trinomials, polynomials?

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Solution

Monomials: Any algebraic expressions consisting of one term are known as monomials.
Examples: $x, 2 x$ and $- x^{2}$ are all monomials
Binomials: Any algebraic expressions consisting of two terms are known as binomials.
Examples: $x^{2} + x, 2 x - 4, x^{2} + 2$ are all binomials.
Trinomials: Any algebraic expressions consisting of three terms are known as trinomials.
Examples: $x^{2} + x - 2, x^{3} + x^{2} + 1, 1 + 2 x - 3 x^{2}$ are all trinomials.
Polynomials: Any algebraic expressions consisting of one or more terms are known as polynomials.
Examples: $x^{3}, x^{3} - x^{2}, x^{3} - x^{2} - x, x^{3} - 2 x^{2} + 3 x + 5$ are all polynomials.

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Separate the monomials, binomials and trinomials from the following:

8 - 3 x, x y^{2}, 3 y^{2} - 5 y + 8, 9 x - 3 x^{2} + 15 x^{3} - 7, 3 x \times 5 y, 3 x \div 5 y, 2 y \div 7 + 3 x - 7, 4 - a x^{2} + b x + y

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