Polynomials

1. Objectives
The student will be able to:
1. add and subtract polynomials.

2. 1. Add the following polynomials:
(9y - 7x + 15a) + (-3y + 8x - 8a)
Group your like terms.
9y - 3y - 7x + 8x + 15a - 8a
6y + x + 7a

3. Combine your like terms.
3a2 + 3ab + 4ab - b2 + 6b2
3a2 + 7ab + 5b2
2. Add the following polynomials:
(3a2 + 3ab - b2) + (4ab + 6b2)

4. Line up your like terms.
4x2 - 2xy + 3y2
+ -3x2 - xy + 2y2
_________________________
x2 - 3xy + 5y2
3. Add the following polynomials
using column form:
(4x2 - 2xy + 3y2) + (-3x2 - xy + 2y2)

5. Rewrite subtraction as adding the
opposite.
(9y - 7x + 15a) + (+ 3y - 8x + 8a)
Group the like terms.
9y + 3y - 7x - 8x + 15a + 8a
12y - 15x + 23a
4. Subtract the following polynomials:
(9y - 7x + 15a) - (-3y + 8x - 8a)

6. Rewrite subtraction as adding the
opposite.
(7a - 10b) + (- 3a - 4b)
Group the like terms.
7a - 3a - 10b - 4b
4a - 14b
5. Subtract the following polynomials:
(7a - 10b) - (3a + 4b)

7. Line up your like terms and add the
opposite.
4x2 - 2xy + 3y2
+ (+ 3x2 + xy - 2y2)
--------------------------------------
7x2 - xy + y2
6. Subtract the following polynomials
using column form:
(4x2 - 2xy + 3y2) - (-3x2 - xy + 2y2)

8. Find the sum or difference.
(5a – 3b) + (2a + 6b)
1. 3a – 9b
2. 3a + 3b
3. 7a + 3b
4. 7a – 3b

9. Find the sum or difference.
(5a – 3b) – (2a + 6b)
1. 3a – 9b
2. 3a + 3b
3. 7a + 3b
4. 7a – 9b