Polynomials Review Just in case you forgot…..

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Presentation transcript:

Polynomials Review Just in case you forgot….

In a nutshell... Simplifying polynomials (gathering like terms) Naming polynomials (# of terms and degree) Adding Subtracting Multiplying Dividing

Simplifying Polynomials Terms are alike if: They have the same degree They have the same variable Add the coefficients of like terms (watch out for positive and negative signs!) 2x3+x2-3x3-4+2x-1 -x3+x2+2x-5

Naming Polynomials By # of terms: 1 term: monomial 2 terms: binomial 3 terms: trinomial 4+ terms: polynomial By degree: Zero degree: constant 1st degree: linear 2nd degree: quadratic 3rd degree: cubic 4th degree: quartic 5th degree: quintic 6th+ degree: nth degree

Adding and subtracting The same as combining like terms, easy! Remember to watch your positive and negatives! Also remember to only combine terms with the same variable and degree. Subtracting: Switch all the signs of any polynomial that comes after a minus sign. Then add like normal! (2x2+x+2) - (3x2-2x+4) (2x2+x+2)+(-3x2+2x-4) 2x2+x+2-3x2+2x-4 -x2+3x-2

Multiplying and Dividing Use the power law and distributive property -x(2x3-x2+8) Dividing Use the quotient law and distributive property (5x2-35x+15)/(5) -1x1(2x3-1x2+8x0) (5x2-35x1+15x0)/(5x0) -2x4+x3-8x x2-7x+3

Using Algebra tiles Adding and Subtracting Lay tiles out like a normal expression Flip over tiles if you are subtracting them, then add. Multiplying and Dividing Multiplication and division table

Multiplying with algebra tiles 2x(-x+2) X 1 1 X X

Multiplying with algebra tiles 2x(-x+2) X 1 1 X X

Multiplying with algebra tiles 2x(-x+2) = -2x2+4x X 1 1 X X2 X X X X2 X X

Dividing with algebra tiles (2x2-4x)/-2x = X X2 X X X X2 X X

Dividing with algebra tiles (2x2-4x)/-2x = X X2 X X X X2 X X

Dividing with algebra tiles (2x2-4x)/-2x = -x+2 X 1 1 X X2 X X X X2 X X

Types of questions you might see on the test Naming polynomials Simplifying polynomials Adding/subtracting polynomials Multiplying/Dividing polynomials All of the above with algebra tiles Perimeter Questions Area questions “Create a polynomial” questions “Cost modelling” questions Maybe a binomial x binomial???

Polynomials PAT Questions (2013)