SOLUTION: x-5/x^3-10x^2+20x+26 I wasn't sure how to put the division sign for this problem, x-5 the long division sign then the resting the problem.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: x-5/x^3-10x^2+20x+26 I wasn't sure how to put the division sign for this problem, x-5 the long division sign then the resting the problem.      Log On


   

Question 945897: x-5/x^3-10x^2+20x+26
I wasn't sure how to put the division sign for this problem,
x-5 the long division sign then the resting the problem.
Found 3 solutions by MathLover1, josgarithmetic, MathTherapy:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
-------||highlight%28x%5E2%29......-5x.....-5------------------------
%28highlight%28x-5%29%29/%28x%5E3-10x%5E2%2B20x%2B26+%29
..............highlight%28x%5E3-5x%5E2%29
...................-5x%5E2%2B20x
....................-5x%5E2%2B25x
..............................-5x%2B26
..............................-5x%2B25
.......................................1..reminder
%28x%5E3-10x%5E2%2B20x%2B26+%29%2F%28x-5%29=x%5E2-5x-5%2B1%2F%28x-5%29

Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
The divisor being x-5, you want %28x%5E3-10x%5E2%2B20x%2B26%29%2F%28x-5%29.

Long Division for Polynomials, especially using integer coefficients, is easier than ordinary base-ten long division.

I am not explaining the steps here although the process is just like what you learned earlier:



___________|________x^2_____-15x______-55_____________________
x-5________|________x^3____-10x^2_____+20x_____+26
___________|________x^3____-5x^2
__________________________________
____________________0______-15x^2____20x
___________________________-15x^2_____75x
______________________________________________
___________________________0________-55x_____26
____________________________________-55x_____275
_____________________________________________-249

The use of italics was done for "bring down the next term" parts of the process.
The very top line is the quotient line, and the next line is the dividend line.

The resulting quotient is highlight%28x%5E2-15x-55%29, and remainder highlight%28-249%29.

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!
x-5/x^3-10x^2+20x+26
I wasn't sure how to put the division sign for this problem,
x-5 the long division sign then the resting the problem.
highlight_green%28x%5E2+-+5x+-+5+%2B+1%2F%28x+-+5%29%29