5.4 Subtracting Polynomials

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Presentation transcript:

5.4 Subtracting Polynomials

- To subtract an integer without tiles, we add the opposite integers. The ‘Additive Inverse’ So we distribute the negative sign to the terms inside the 2nd bracket. - + +

Or we can combine like terms and then add…

Using algebra tiles: (3b2 – 2b – 1) – (-2b2 – b + 2) To subtract, you have to take away 2 , 1 , and 2 . Because these tiles aren’t there to take away, you add zero pairs.

Now take away the tiles for (-2b2 – b + 2) The remaining tiles represent : 5b2 – b - 3

Try these: 1) Symbolically (Using numbers and letters) a. (8f – 3) – (7f+5) b. (2 + 5g – 7g2) – (9g – 4g2 + 2) 2) With algebra tiles (-4v2 + 5v - 1) – (-3v2 + 4v – 2)

Homework assignment : P. 234: #6, 7, 13, 15, then 14