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Maths Exercices
Polynomial Vocabulary

A monomial is a number, variable, or product with non-fractional exponents.

3, 4xy, -8x, -x100 are monomials
4-10, x-3= are not monomials

A polynomial is the sum or difference of monomials.

3 is a monomial
4x+2y is a binomial
4xy-5x+8 is a trinomial

The degree of a monomial is the sum of the exponents of the variables.

The degree of 4xy is 2
The degree of 4x2y3 is 5
The degree of 3 is 0

The degree of a polynomial is the degree of the term with the largest degree.

The degree of the polynomial 4x3+x2+x8 is 8

Standard Form of a polynomial is the list of the monomials in order from largest to smaller degree.

The polynomial x8+4x3+x2 is written in its Standard Form

Leading coefficient is the coefficient of the term with the largest degree.

The leading coefficient of the polynimial x8+4x3+x2 is 1.