1 Multiplying Polynomials The world is open to you.

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Presentation transcript:

1 Multiplying Polynomials The world is open to you.

2 Why its important for algebra For geometry and finding the area of an object.

3 What is a polynomial ??? Definition: a polynomial is two numbers or variables being added together

4 How to? The foil method To multiply two binomials use the FOIL method. F the product of the First two terms O the product of the Outside terms I the product of the Inside terms L the product of the Last terms

5 ( a + b )( c + d ) = ? then F--- ac O--- ad I--- bc L--- bd Then add as normal. Then, combine like terms (if possible). (It should end up as ax + bx +c) So if……………….

6 Example. (x+2)(x+4) F:X*X=x 2 O:X*4=4x I:2*x=2x L:2*4=8 X 2 +4x+2x+8= X 2 +6x+8

7 Multiplying using the plummet Arrange each number at one of the sides of the square Multiply ac, ad bc ad Add as normally. Then, combine like terms (if possible). (It should end up as ax + bx +c) A B CDCD AC CB DA DB

8 Example (x+2) (x+3) Insert numbers x 2 +2x+3x+6 = x 2 +5x+6 X 2 X x 2 2x 3 3x 6

9 When will you ever use this in your life? If you become a math teacher (duh) When helping a sibling, cousin, kid your baby sitting, with homework If you became a artist, or in a business situation.

10 Real life example. Say you needed to no the area of a field. the with was represented by (x+2) and the with by (x+3) as we know you multiply to find the area. So…Ill use the foil method. X*x=x 2 X*2=2x 3*x=3x 3*2=6 Combine like terms X 2 +5x+6

11 Another real life example If you were a painter and you got a easel that was (x+5) by (x+5) an you needed one to be bigger then x 2 +7x+15, would it work. x*x=x x 2 X*5=5x 5*x=5x 5*5=25 X x 2 +10x+25 So your answer is YES!