Polynomials

Terms and Multiplying

Polynomial

Term – number, variable or combination of the two, 2, x, 3yPolynomial – made up of 1 or more terms, separated by plus or minus

Monomial – one termBinomial – 2 termsTrinomial – 3 terms (quadratic)

Degree of polynomial – highest exponent in the polynomial

Multiply

Number multiplies to numberVariables add the exponentsMonomial to binomial or trinomialDistribute what is outside parenthesis to everything inside the parenthesis

Binomial Multiplication

FOIL helps us to remember what to multipleResult should be 4 terms, but usually two of them can combineF(irst) – first term in each binomialO(utside) – first term in first binomial and second term in second binomialI(nside) – second term is first binomial and first term in second binomialL(ast) – second term in first binomial and second term in second binomial

FOIL

Special Cases

Perfect Square – squaring one binomial, multiplying it by itself

First term squared sign of second first term times second term times 2 plus second term squaredSum and Difference – same two terms but one binomial is addition and one binomial is subtraction

First term squared minus second term squared

222 2)( bababa

22))(( bababa

HomeworkShow FOIL step and CLT step Special cases NO work

needed