# Shared Flashcard Set

## Details

Multiplying Polynomials
Multiplying Polynomials
12
Mathematics
10/19/2007

## Additional Mathematics Flashcards

Term
 Multiplying a polynomial by a monomial is just
Definition
 distributing
Term
 Multiplying a binomial by a binomial is
Definition
 double distributing   or   F.O.I.L.ing
Term
 In F.O.I.L., the F stands for
Definition
 First   (x + 2)(x - 3)
Term
 In F.O.I.L., the O stands for
Definition
 Outer   (x + 2)(x - 3)
Term
 In F.O.I.L., the I stands for
Definition
 Inner   (x + 2)(x - 3)
Term
 In F.O.I.L., the L stands for
Definition
 Last   (x + 2)(x - 3)
Term
 Multiplying a polynomial by a polynomial is usually easier to do if you
Definition
 set it up vertically like a regular multiplication problem   x2 + 3x + 2           x - 7
Term
 (a + b)(a - b)
Definition
 a2 – b2
Term
 (a + b)2
Definition
 a2 + 2ab + b2
Term
 (a - b)2
Definition
 a2 - 2ab + b2
Term
 If you are evaluating the product of functions, you can either:
Definition
 multiply and then evaluate or evaluate and then multiply
Term
 What do you do when you are asked to evaluate a polynomial function for an algebraic expression like x + 2?     For example: Find f(x + 2) if f(x) = 3x - 7
Definition
 Put (x + 2) where the x is in the function   f(x) = 3x - 7   3(x + 2) - 7 3x + 6 - 7 3x - 1
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