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2# Long Division Polynomials

2# Long Division Polynomials

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2# Long Division Polynomials

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  1. 2# Long Division Polynomials

  2. Graphic Organizer vocabulary Division of Polynomials Synthetic Division 1. 2. 3. Long Division 1. 2. 1. 2. 3. 4.

  3. vocabulary Due Test Day Roots Zeros Rational Root Theorem Remainder Theorem Factor Theorem Synthetic Division Prime Factors

  4. What does it mean to factor a number into its prime factors? what times what equals … 90 462

  5. yesterday 3x y z + 12xyz – 4xy z3xyz 3 2 2 3 Simple Division 3x y z + 12xyz – 4xy z 3 2 3 2 3xyz 3xyz 3xyz

  6. Polynomial Division Long Divisionis very similar to Polynomial Division

  7. Long Division 2 3 8 6 5 Will 3 go into 2? NO 3 2597 2597 3 5 9 7 -( ) 24 Will 3 go into 25? YES 1 9 18 -( ) 7 1 -( ) 15 2

  8. Polynomial Division -7 3x+1 2 -2x +4 x 3 2 3x+13x -5x +10x - 3 3 2 -( ) 3x +1x - 2 -6x + 10x Look at 1st term 2 3 -( ) -6x - 2x + + 3x( ?? ) = 3x x2 12x - 3 -( ) 12x + 4 - -7

  9. Think Think Think example Multiply: 6x2(x – 2). Subtract. Multiply: –7x(x – 2). Subtract. Multiply: 2(x – 2). Subtract.

  10. Polynomial Division Notice that there is no x term. However, we need to include it when we divide.

  11. Polynomial Division -( ) -( ) -( )

  12. Try This • Answer:

  13. *****application Long Division worksheet Due next class