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Multiplying Polynomials
Multiplying Polynomials
12
Mathematics
Undergraduate 1
10/19/2007

Additional Mathematics Flashcards

 


 

Cards

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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