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10 1 Adding Subtracting Polynomials
 

10 1 Adding Subtracting Polynomials

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    10 1 Adding Subtracting Polynomials 10 1 Adding Subtracting Polynomials Presentation Transcript

    • Adding & Subtracting Polynomials
    • Adding & Subtracting Polynomials
      • Two methods:
      • Horizontal
      • Vertical
    • Adding Polynomials
      • Horizontal.
      • Group the like terms together. Using a color can be helpful.
      • Remember that the sign in front of the number stays with the number.
    • Adding Polynomials
      • (2x 2 – 3x + 4) + (3x 2 + 2x – 3)
      • ( 2x 2 + 3x 2 ) + ((– 3x) + 2x) + ( 4 + (– 3) )
      • 5x 2 – x + 1
    • Adding Polynomials
      • Vertical
      • Line up the like terms.
      • Remember that the sign in front of the number stays with the number.
      • You may have to rearrange the terms to line them up.
    • Adding Polynomials
      • 2x 2 – 3x + 4
      • 3x 2 + 2x – 3
      • 5x 2 – 1x + 1
    • Subtracting Polynomials
      • When you are subtracting, go ahead and change all the signs in the second set.
    • Subtracting Polynomials - Horizontal
      • (7x 3 – 3x + 1) - (x 3 + 4x 2 – 2)
      • (7x 3 – 3x + 1) + (-x 3 - 4x 2 + 2)
      • Now it becomes an addition problem
      • (7x 3 – x 3 ) + (-4x 2 ) + (-3x) + (1 + 2)
      • 6x 3 – 4x 2 – 3x + 3
    • Subtracting Polynomials - Vertical
      • (7x 3 – 3x + 1) - (x 3 + 4x 2 – 2)
      • (7x 3 – 3x + 1) + (-x 3 - 4x 2 + 2)
      • Now it becomes an addition problem
      • 7x 3 – 3x + 1
      • -x 3 - 4x 2 + 2
      • 6x 3 -4x 2 - 3x +3
    • Horizontal or Vertical
      • Both horizontal and vertical have their place.
      • You can decide which one to use based on the way the problem is laid out.