Adding/SUBTRACTING LIKE POLYNOMIALS
Published on Nov 23, 2015
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But can you combine five apples and six oranges?
Five apples plus six apples is 11 apples.
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In our case, let's say you can't. You can't combine apples and oranges, ok?
In the same way, 5x plus 6x is 11x.
But 5x plus 6x^2 (squared) is just 5x plus 6x^2.
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They can't be combined because they're not "like".
THEY'RE NOT LIKE TERMS
Now what are polynomials?
Polynomials come from "poly" meaning many and nomial meaning terms.
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So polynomials are "many terms"
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(5x plus 6x^2) plus (7x plus 2x^2)
Now let's add the like polynomials!
Place the like terms together.
Then add the like terms.
5x plus 7x equals 12x
6x^2 plus 2x^2 equals 8x^2
The answer is...
8x^2 plus 12x
Another way to solve is the column method.
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Line up all the like polynomials.
- 7x plus 3x^2 plus 3
- 3 plus 4x^2 plus 8x
- NOW LINE IT UP
- 3X^2 PLUS 7X PLUS 3
- 4X^2 PLUS 8X PLUS 3
nOW IT'S EASIER TO ADD THE LIKE POLYNOMIALS.
The answer is 7x^2 plus 15x plus 6
The same rules apply to subtracting like polynomials.
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(7x^2 plus 3x minus 2) minus (3x^2 plus 4x minus 3)
Would anybody like to solve???
The answer is...
4x^2 minus x plus 1
Now here are some practice problems for 3 volunteers.
(3x^2 plus 7x minus 4) plus (5x^2 plus 2x-1)
You can solve it on the board
(3x^3 plus 5x minus 2) plus (4 minus 2x^3 plus 7)
(12x^2 minus 4x^3 plus 2) minus
(6 plus 3x^3 plus 2x)
LET US CHECK THEIR WORK TOGETHER
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we're done!
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