The student will be able to: 1. Add and subtract polynomials. The document provides examples of adding and subtracting polynomials by combining like terms. It includes adding and subtracting polynomials using column form. There are also practice problems for students to find the sum or difference of polynomials.

1. Objectives
The student will be able to:
1. add and subtract polynomials.
MA.912.A.4.2
p.572 Chapter 9.1

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

4. Add the polynomials.
Y
Y
Y
Y
1.
2.
3.
4.
X
X
1 1 1
X2
+
x2 + 3x + 7y + xy + 8
x2 + 4y + 2x + 3
3x + 7y + 8
x2 + 11xy + 8
Y
Y
Y
1
1
X
1
1 1
XY

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

6. 4. Subtract the following polynomials:
(9y - 7x + 15a) - (-3y + 8x - 8a)
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

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

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

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

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