Algebraic language

# Polynomials

A **polynomial** is the addition or subtraction of monomials. If we only have two monomials, we call it **binomial** and, if we have three, we call it **trinomial.**

The **degree of a polynomial** is the biggest degree of its monomials.

Examples:

3x + y is a binomial of degree 1

x2 – 3x + 2 is a trinomial of degree 2

a + 3b – 5ab + 8abc is a polynomial of degree 3

**Exercise**: classify these polynomials and indicate its degree:

a) x^{7} - 3x^{2} + 15

b) a^{7}b^{2} + a^{11}b

c) x^{2}y^{3}z^{5} + x^{3}y^{2}z^{3} - xyz^{12} - x^{12}yz^{2}

Solutions: a) Trinomial of degree 7; b) Binomial of degree 12; c) Polynomial of degree 15

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