1. AIM: Subtracting Polynomials
Do Now
Find the following perimeters.
x+7 3x + 9
x+3 x+3
x2 + 3 x2 + 3
x+7 3x + 9
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2. 16x + 32
24x + 10
­27x2 ­ 25x ­ 6
26x2 + 22x + 25
­15x2 ­ 21x ­ 11
2

3. 32x2 + 31x + 28
­9x2 ­ 14
6x2 ­ 32x ­ 15
20x7 ­ 16x6 ­ 21x5 ­ 23x4 + 9x
­9x7 + 5x6 + 9x3 ­ 20x2 ­ 12x
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4. (3x2 + x + 2) - (2x2 - x + 3)
REMOVED
PIECES
Use the opposite of each term
of the second polynomial
2 2 x x
x x 1 ­1
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5. (3x2 + x + 2) - (2x2 - x + 3)
REMOVED
PIECES
x
2
­1
x
2 2
x x
x
2 2
x x
1­1
1
­1
2 2 x x
x x 1 ­1
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6. (-x2 + 2x - 1) - (-x2 + 3x - 2)
REMOVED
PIECES
2
x
x x
1 x
2
x
x x
­1
1
2 2 x x
x x 1 ­1
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7. Subtract the following polynomials.
1.) (2x2 - 4) - (x2 + 3x - 3)
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8. Subtract the following polynomials.
1.) (3a2 - 3a + 1) - (2a2 + 4a - 7)
2.) (-2x3 + 5x - 1) - (-2x + 6)
3.) (m2 + 2mn) - (3m2n - 6mn) - (5m2n + 12 mn)
4.) (3a2b2 + 2a2 - 5ab) + (-3ab + a2 - 2) - (6ab + 1)
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9. BEFORE YOU LEAVE
The area of the rectangle is 2a2 - 4a + 5 cm2. The area of the
square is a2 -2a - 6 cm2. What is the area of the shaded region?
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10. Mr. Tjersland's Math 7
Homework: None
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