Add polynomials

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

p.572 Chapter 9.1

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

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

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

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

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

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

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

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

3a – 9b
3a + 3b
7a + 3b
7a – 3b

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

3a – 9b
3a + 3b
7a + 3b
7a – 9b

Add polynomials

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