10 1 Adding Subtracting Polynomials
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This document discusses two methods for adding and subtracting polynomials: horizontal and vertical. For addition, terms with the same variables are combined by adding the coefficients. For subtraction, the signs of the terms in the second polynomial are changed to addition signs before combining like terms. Both horizontal and vertical methods can be used, with horizontal grouping like terms and vertical lining them up before combining coefficients.
10 1 Adding Subtracting Polynomials
- 1. Adding & Subtracting Polynomials
- 2. Adding & Subtracting Polynomials Two methods: Horizontal Vertical
- 3. 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.
- 4. Adding Polynomials (2x 2 – 3x + 4) + (3x 2 + 2x – 3) ( 2x 2 + 3x 2 ) + ((– 3x) + 2x) + ( 4 + (– 3) ) 5x 2 – x + 1
- 5. 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.
- 6. Adding Polynomials 2x 2 – 3x + 4 3x 2 + 2x – 3 5x 2 – 1x + 1
- 7. Subtracting Polynomials When you are subtracting, go ahead and change all the signs in the second set.
- 8. 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
- 9. 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
- 10. 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.