7.6
Adding and Subtracting Polynomials
Horizontal method:
(2a2 - 4a + 3) + (6a2 + 9a - 5)
Vertical method:
(2a2 - 4a + 3)
+ (6a2 + 9a - 5)
Horizontal Method:
(7m2 - 3m + 8) (-3m2 - 6m + 1)
Vertical Method:
(7m 2 - 3m + 8)
(-3m2 - 6m + 1)
More practice:
(-3 + 2n2 + 5n5 ) - (4 - n3 + 2n2 + n5 )
-(x 3 - 2) + (4x3 -2x) - (2x2 + 3)
-(5n2 -1) - (-3n2 + 5) - (n 2 - n + 7)
(ab2 + 13b - 4a) + (3ab2 + a + 7b)
(5a3 w - 3a2 + 2aw3 ) - (6w + 7aw 3 - 2a3w - 4)
Amy is making a banner in the shape of a
triangle. She wants to line the banner with a
decorative border. How long will the border be?
12b
-8
9b + 8
8
b
12
The recreation field at a middle school is
shaped like a rectangle with a length of 15x
yards and a width of 10x - 3 yards. Write a
polynomial for the perimeter of the field.
Then calculate the perimeter if x = 2.
Dave and Stephanie have competing
refreshment stand businesses.
Dave's profit can be modeled with the
polynomial c 2 + 8c - 100, where c is the
number of items sold.
Stephanie's profit can be modeled with
the polynomial 2c2 - 7c - 200.
Write a polynomial that represents the difference
between Stephanie's profit and Dave's profit
Write a polynomial to show how much they can
expect to earn if they decided to combine their
businesses.