Polynomials

Chapter 9PolynomialsWhat are polynomials?Poly- nomial-

What are monomialsMono-nomialMonomialsOne term A monomial is a number, a variable, or the product of a number and a variableMonomials that are real numbers (no variables) are called constantsExamplesMonomialsNot monomials12q4x11ab1/3rtxyza + ba b 5 7d 5 a 5a 7b

The Degree of a monomial is the sum of the variables exponentsExamplesDegreeExponent Rules

Product of PowersPower of a PowerPower of a ProductPower of a MonomialQuotient of PowersZero ExponentNegative ExponentsProduct of PowersFor any number a and all integers m and n,

Examples:Power of a PowerFor any number a, and all integers m and nExamples:Power of a ProductFor all numbers a and b, and any integer m,ExamplesPower of a MonomialFor all numbers a and b, and any integer m, n, and pExamples:Quotient of PowersFor all integers m and n, and any non-zero number a,

Why non-zero number a??Examples:Zero ExponentFor any non-zero number a,

Proof(s) Examples:Negative ExponentsFor any nonzero number a and any integer n,Examples:Scientific NotationIs a way to write really big or really small numbersA number is expressed in scientific notation when it is in the form a x 10 ,where 1 a