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

2

3a + 3ab + 4ab - b + ...
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 ...
3. Add the following polynomials
using column form:
(4x2 - 2xy + 3y2) + (-3x2 - xy + 2y2)
Line up your like terms.
4x2 - 2...
4. Subtract the following polynomials:
(9y - 7x + 15a) - (-3y + 8x - 8a)
Rewrite subtraction as adding the
opposite.
(9y -...
5. Subtract the following polynomials:
(7a - 10b) - (3a + 4b)
Rewrite subtraction as adding the
opposite.
(7a - 10b) + (- ...
6. Subtract the following polynomials
using column form:
(4x2 - 2xy + 3y2) - (-3x2 - xy + 2y2)
Line up your like terms and...
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
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Add/Subtracting Polynomials

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Add/Subtracting Polynomials

  1. 1. Objectives The student will be able to: 1. add and subtract polynomials. MA.912.A.4.2 p.572 Chapter 9.1
  2. 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. 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. 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. 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. 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. 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. 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. 9. Find the sum or difference. (5a – 3b) + (2a + 6b) 1. 2. 3. 4. 3a – 9b 3a + 3b 7a + 3b 7a – 3b
  10. 10. Find the sum or difference. (5a – 3b) – (2a + 6b) 1. 2. 3. 4. 3a – 9b 3a + 3b 7a + 3b 7a – 9b
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