Multiplying Polynomials I

Multiplying Polynomials I Learning how to multiply a binomial with a monomial

Rules of Exponents - Review ,[object Object]

The Invisible Exponent ,[object Object]

Product of like bases ,[object Object],[object Object]

Power to a Power ,[object Object],[object Object]

Product to a Power ,[object Object],[object Object]

Quotient with like bases ,[object Object],[object Object]

Negative Powers ,[object Object],[object Object]

Zero Power Rule ,[object Object]

Classifying Polynomials POLYNOMIALS MONOMIALS (1 TERM) BINOMIALS (2 TERMS) TRINOMIALS (3 TERMS) x 2 + 4x x 2 x 2 + 4x - 4

The Distributive Property - Back with a Vengeance ,[object Object],[object Object]

Distributive Property (Box Method) ,[object Object],= -35x – 56 Ex. 1 5x + 8 -7 -35x -56 x(x + 4) = x 2 + 4x Ex. 2 x + 4 x x 2 4x

Distributive Property (Box Method) ,[object Object],= 2x 2 – 12x Ex. 3 x - 6 2x 2x 2 -12x 3h 2 (5h - 9) = 15h 3 – 27h 2 Ex. 4 5h - 9 3h 2 15h 3 -27h 2

Distributive Property (Box Method) ,[object Object],= 18p 8 + 54p 4 Ex. 5 2p 5 +6p 9p 3 18p 8 +54p 4 7k(k 9 – 6k) = 7k 10 – 42k 2 Ex. 6 k 9 - 6k 7k 7k 10 -42k 2

Multiplying Polynomials I

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