7.3 Polynomials A monomial or a sum of monomials

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Presentation transcript:

7.3 Polynomials A monomial or a sum of monomials A monomial is one term with a positive exponent. A binomial is the sum of two monomials. A trinomial is the sum of three monomials.

Polynomials Identify the following as a monomial, binomial, or trinomial. binomial None – you can’t divide by a variable (y). trinomial monomial

Polynomials The degree of a monomial is the sum of the exponents of its variables. 5x2 Degree 2 4ab3c4 Degree 8 (1 + 3 + 4) 5 Degree 0 Degree of a polynomial is the highest sum of the monomial degrees. 8x3y – 2x2y8 + x – 7 Degree 10 (highest sum 2 + 8)

Polynomial Arrange the terms of the polynomial in descending order by powers. 3x + 4x2 – 5x3 + 6 -5x3 + 4x2 + 3x + 6 Arrange the terms of the polynomial in ascending order by powers. 6 + 3x + 4x2 – 5x3

Homework #50 p. 379 13-49 all, 60, 61