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Adding and Subtracting Polynomials
Section 9-2
Adding Polynomials
We have 2 methods to add polynomials
Method 1:
You can add polynomials by grouping the like terms horizontally together and finding their sum.
Method 2:
You can add polynomials by grouping the like terms vertically together (stacking method) and finding their sum.
Find each sum.
1. (4x - 3) + (2x + 5)
Method 1 Method 2
2. (x2 + 2x – 5) + (3x2 – x + 4)
3. (2x2 + 5xy + 3y2) + (8x2 – 7y2)
Your Turn!
1. (3x + 9) + (5x + 3)
2. (-2x2 + x + 5) + (x2 - 3x + 2)
3. (a2 - 2ab + 4b2) + (7a2 - 2b2)
4. (7m2 – 6) + (5m - 2)
Subtracting Polynomials
Recall that subtracting an integer is really adding its opposite.
4 - 3 = 4 + -3 2 – 3 = 2 + -3
To subtracting polynomials ADD THE OPPOSITE!
Find each difference
1. (6x + 5) – (3x + 1)
2.) (2y2 – 3y + 5) – (y2 + 2y +8)
3.) (3x2 + 5) – (-4x + 2x2 + 3)
Your Turn!
1. (3x – 2) – (5x – 4)
2. (10x2 + 8x - 6) – (3x2 + 2x – 9)
3. (6m2 + 7) – (-2m2 + 2m - 3)
4. (5x2 – 4x) – (2 – 3x)
Geometry Link!
The perimeter of triangle ABC is 7x + 2y. Find the measure of the third side of the triangle.
2x+ y 3x - 5y