SOLUTION: find the following quotient:
3x^2-25y^2/3x+5y
I did this and got x-5y, I then checked it on a math site with calculator and
it said the answer was x with a remainder of 0. h
Algebra ->
Polynomials-and-rational-expressions
-> SOLUTION: find the following quotient:
3x^2-25y^2/3x+5y
I did this and got x-5y, I then checked it on a math site with calculator and
it said the answer was x with a remainder of 0. h
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Question 486078: find the following quotient:
3x^2-25y^2/3x+5y
I did this and got x-5y, I then checked it on a math site with calculator and
it said the answer was x with a remainder of 0. how am I wrong?????
because I did another one x^2-36/x+6 and got x-6 which was correct.
doesn't the same apply to the first one. Thanks for any input. Answer by solver91311(24713) (Show Source):
Well, is the quotient although it is an incomplete answer because there is a remainder involved. remainder 0 is completely out to lunch. ()
The reason comes out so tidily is NOT because "x goes in to x-squared x times and 6 goes into 36 six times" but rather because of the factorization of the numerator. Note that the numerator is the difference of two squares, so
Considering the number 3 to be the square of , you can factor the numerator of your problem as the difference of two squares:
but neither of these factors is evenly divisible by your given denominator,
The only thing left to us is to do multi-variable polynomial long division. A process that is very difficult and time consuming to render on this system. Perhaps you can get an idea from: