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Operations with Polynomials
Definition:
Like Terms : like terms have the same variable exponent combination
Examples of like terms :
Examples of unlike terms :
Like terms are added and subtracted by adding or subtracting the coefficients .
Example: 3A+ 4A = 7A (think: 3 Apples + 4 Apples = 7
Apples)
Example: 12C − 9C = 3C (think: 12 Carrots – 9 Carrots = 3 Carrots)
Example: 7A+ 6O = 7A+ 6O (think: 7 Apples + 6 Oranges = 7 Apples + 6 Oranges,
you can’t
add apples and oranges)
Example: 7A+ 8O+14 + 6A+ (−6) − 3O =13A+ 5O+ 8
You do not need like terms to perform multiplication or
division . The coefficients are
multiplied ( or divided ). When multiplying, the exponents of variables are added .
When
dividing , the exponents of variables are subtracted .
Example: 5(6x^2 − 7 y) = 30x^2 −35y (the 5 multiplies each
term in the parentheses , this is known
as the distributive property )
Example:
Example:
Example:
In 120, perform the indicated operations .
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