Question

Could anyone help me find the answer to this algebric equation. it needs to be written in mixed expression (x^2-5x+7)/(x-9)

Answer 1

see explanation

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

`(x^2-5x+7)/(x-9)` = x + 4 +
`(43)/(x-9)`