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7 2 adding and subtracting polynomials
- 2. We will look at 3 different ways to
add polynomials:
1. Using algebra tiles
2. Horizontal method
3. Vertical method
- 3. Group like terms and simplify.
Example:
(-x2 + 5x + 4) + (3x2 – 8x + 9)
- 4. Line up like terms vertically, then add.
Leave a space for any missing terms.
Example:
(3a2 + 8) + (5a – 1)
- 5. Find the sum:
(b – 10) + (4b – 3)
(x2 – x – 2) + (7x2 – x)
- 6. Just add the opposite!
Change all the signs of the subtracted
polynomial
Then add like terms
Example:
(y2 + 4y + 2) – (2y2 – 5y – 3)
- 7. Find the difference:
(5x2 + 4x – 1) – (2x2 – 6)
- 8. Find the difference:
(p2 + p + 3) – (-4p2 – p + 3)
(-k + 5) – (3k2 – 6)
- 9. Just like one-variable, but be EXTRA
careful grouping like terms.
Example:
(x2 – 2xy – y2) + (x2 + xy + y2)
- 10. (2s2 – 5st – t2) – (s2 + 7st – t2)
- 11. (c2 – 6d2) + (c2 – 2cd + 2d2)
- 12. (-x2 + 9xy) – (x2 + 6xy – 8y2)
(a2 – 3ab + 2b2) + (-4a2 + 5ab – b2)