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# 10 1 Adding Subtracting Polynomials

## on Mar 12, 2008

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## 10 1 Adding Subtracting PolynomialsPresentation Transcript

• Two methods:
• Horizontal
• Vertical
• 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.
• (2x 2 – 3x + 4) + (3x 2 + 2x – 3)
• ( 2x 2 + 3x 2 ) + ((– 3x) + 2x) + ( 4 + (– 3) )
• 5x 2 – x + 1
• 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.
• 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.