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Multiplying Polynomials

Multiplying Polynomials. The world is open to you. Why its important for algebra. For geometry and finding the area of an object. What is a polynomial ???. Definition: a polynomial is two numbers or variables being added together. How to? The foil method.

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Multiplying Polynomials

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  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 Lastterms

  5. So if………………. • ( 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)

  6. Example. • (x+2)(x+4) • F:X*X=x2 • O:X*4=4x • I:2*x=2x • L:2*4=8 • X2+4x+2x+8= X2+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 C D AC CB DA DB

  8. Example X 2 X x2 2x 3 3x 6 • (x+2) (x+3) • Insert numbers • x2+2x+3x+6 • = x2+5x+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=x2 • X*2=2x • 3*x=3x • 3*2=6 • Combine like terms • X2+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 x2 +7x+15, would it work. • x*x=x x2 • X*5=5x • 5*x=5x • 5*5=25 • X x2 +10x+25 • So your answer is YES!

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