Divide (x-5)/(9-x)

Math
x-59-x
Reorder 9 and -x.
x-5-x+9
Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of 0.
x+9x5
Divide the highest order term in the dividend x by the highest order term in divisor -x.
1
x+9x5
Multiply the new quotient term by the divisor.
1
x+9x5
+x9
The expression needs to be subtracted from the dividend, so change all the signs in x-9
1
x+9x5
x+9
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
1
x+9x5
x+9
+4
The final answer is the quotient plus the remainder over the divisor.
-1+4-x+9
Divide (x-5)/(9-x)

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