Polynomials Pre-Algebra Lesson 13-1

Monomial A number, a variable, or a product of numbers and/or variables EXAMPLE: 4 x 2y3

Polynomial An algebraic expression that contains one or more monomials (a number, a variable, or a product of numbers and/or variables) In a polynomial, there are no terms with variables in the denominator and no terms with variables under a radical sign. EXAMPLE: x x + 1 a + b + c 4x2 + 2x 8

Binomial A polynomial with two terms EXAMPLE: 4 + x a – 5b x + y3

Trinomial A polynomial with three terms EXAMPLE: 8v - 4 + x t2 + a – 5b 8 - xm + y3

EXAMPLES Polynomial Monomial Binomial Trinomial Terms 1 2 3 Examples 4 a – 5b c2 + d a + b + c x2 + 2x + 1 3m2 – nm + 1

Determine whether each expression is a polynomial Determine whether each expression is a polynomial. Then classify as a monomial, binomial or trinomial. 2x3 + 5x + 7 t - 1 𝑡2

Degrees of Polynomials The degree of a monomial is the sum of the exponents of its variables. The degree of a nonzero constant such as 6 or 10 is 0. The constant 0 has no degree. The degree of a polynomial is the same as that of the term with the greatest degree.

Find the degree of each polynomial. 5a -4x2y 3y2 x2 + 3x – 2 a2 + ab2 + b4

practice p.703 #1-10