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3.4

Learn to combine like terms when adding or subtracting polynomials. Change signs and combine terms effectively. Use vertical alignment for clarity.

ronaldcleveland
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3.4

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  1. Adding and Subtracting Polynomials 3.4

  2. Adding and Subtracting Polynomials To Add Polynomials Combine all the like terms. To Subtract Polynomials Change the signs of the terms of the polynomial being subtracted, and then combine all the like terms.

  3. Adding and Subtracting Polynomials Example Add: (3x – 8) + (4x2 – 3x +3) (3x – 8) + (4x2 – 3x +3) = 3x – 8 + 4x2 – 3x + 3 = 4x2 + 3x – 3x – 8 + 3 = 4x2 – 5

  4. Adding and Subtracting Polynomials Example Subtract. = 3a2 – 6a + 11 1) 4 – (– y – 4) = 4 + y + 4 4 – (– y – 4) = y + 4 + 4 = y + 8 2) (– a2 + 1) – (a2 – 3) + (5a2 – 6a + 7) (– a2 + 1) – (a2 – 3) + (5a2 – 6a + 7) = – a2 + 1 – a2 + 3 + 5a2 – 6a + 7 = – a2 – a2 + 5a2 – 6a + 1 + 3 + 7

  5. Helpful Hint Don’t forget to change the sign of each term in the polynomial being subtracted.

  6. Adding and Subtracting Polynomials You can also use a vertical format in arranging your problem, so that like terms are aligned with each other vertically.

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