© 2007-2009 Pitsco EducationMO•0807•0709•011HomeworkChemical MathSession 3Apolynomialis an algebraic expression containing variables and constants. The variables aresometimes multiplied by a number that is called acoefficient. Polynomials are made up of termsthat are separated by either addition or subtraction.3xMonomials have one term.6x + 3Binomials have two terms.4x2+ 8x – 5Trinomials have three terms.-2x + 3y – z – 1Expressions with more than three terms are called polynomials.Sometimes, a polynomial will have more than one term containing the same variable. These arecalledlike terms. Like terms can be combined to simplify the expression. Like terms have thesame variable and are raised to the same power; however, the coefficient can be different.6x + 9 + 4x6x and 4x are like terms and can be combined.10x + 93x2+ 6x – 7x3Each x is raised to a different power, so there are no like terms.2 – y + 8y8y and -y are like terms. The y is negative because we can7y + 2rewrite subtraction as addition: 2 + (-y) + 8y.It is standard to write polynomials in alphabetical order with constants at the end. If there are