Add & Subtract Polynomials Aim: Simplify a polynomial expression by adding or subtracting (add the inverse) polynomials.

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Presentation transcript:

Add & Subtract Polynomials Aim: Simplify a polynomial expression by adding or subtracting (add the inverse) polynomials.

1.What does it mean to combine like terms? 2.Simplify: 3x 2 + 6x – 2x 2 + x A process used to simplify an expression by adding or subtracting the coefficients of terms from the same family. Horizontal Method 3x 2 + 6x – 2x 2 + x x2x2 Vertical (stacking) Method 3x 2 + 6x – 2x 2 + x x 2 + 7x + 7x

Find the sum of (3a 2 + 5a) + (6 – 7a) 1. Drop the parentheses 2.Combine like terms 3a 2 + 5a + 6 – 7a 3a 2 – 2a + 6

Subtract (3b 4 + b + 3) from (b 4 – 5b + 3) 1. Translate ‘from’ reverses the order 2.Change subtracting a polynomial to adding the inverse polynomial 3.Add the polynomials b 4 – 5b (3b 4 + b + 3) b 4 – 5b (-3b 4 - b - 3) -2 b 4 – 6b

Simplify the following: 1. (2a 2 + 7a + 1) + (3a 2 + 5a – 7) 2.(2b 2 + 7b + 1) - (3b 2 + 5b – 7) 3. (16c 2 + 2) – (10c 2 – 8) + (3c 2 ) 5a a - 6 -b 2 + 2b + 8 9c