Answer:
see explanation
Step-by-step explanation:
One way to divide is to use the denominator as a factor in the numerator
Consider the numerator
x(x - 9) + 9x - 5x + 7
= x(x - 9) + 4x - 7
= x(x - 9) + 4(x - 9) + 36 + 7
= x(x - 9) + 4(x - 9) + 43
quotient = x + 4, remainder = 43
Hence
[tex]\frac{x^2-5x+7}{x-9}[/tex] = x + 4 + [tex]\frac{43}{x-9}[/tex]
