Expanding Binomials - MBF3C Quadratics II Date Expanding Binomials TERMINILOGY Polynomial an algebraic expression made up of terms that are added and

Expanding Binomials - MBF3C Quadratics II Date Expanding...

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MBF3C – Quadratics II Date: _________________________ Expanding Binomials TERMINILOGY Polynomial – an algebraic expression made up of terms that are added and subtracted . Term – the product of a numerical coefficient and one or more variables. Monomial – a polynomial with one term. Binomial – a polynomial with two terms. Trinomial – a polynomial with three terms. Review of Expanding Expanding - the process of multiplying terms together and collecting like terms to simplify. Distributive Property – multiply the terms i.e. a ( b + c ) = ab + ac Example : Simplify the following. 1. 2. =12 x – 13 x + 3 y + 5 y place like terms together = - x + 8 y add / subtract like terms = (3 x + 4 y ) – 1(5 x – 6 y ) negative sign is a negative 1 = (3 x + 4 y ) – 5 x + 6 y distributive property = 3 x + 4 y – 5 x + 6 y remove brackets = -2 x + 10 y collect like terms MULTIPLYING BINOMIALS Distributive property O F F first term O outside terms I inside terms L last terms Examples 1. ( x + 2) ( x + 4) x 2 + 4 x + 2 x + 8 x 2 + 6 x + 8 2. ( x – 2) ( x + 4) x 2 + 4 x – 2 x – 8 x 2 + 2 x – 8 3. ( x – 2)( x
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