Question

How do you long divide `( x^2 - 5x + 6 )/( x-2)`?

Answer 1

`(x^2-5x+6)/(x-2)=x-3`

Explanation:

In long division , the first step is to arranged the degree of each term from highest to lowest , both dividend and divisor. From the given, both dividend and divisor are already arranged.

We can proceed with the division

`" " " " " " underline( " "x-3" " " " " ")` `larr`the quotient
`" "x-2 |~""x^2-5x+6`
`" " " " " "underline(x^2-2x" " " ")` `larr`product of x and divisor
`" " " " " " " " " " "-3x+6" " " "` `larr`result of subtraction
`" " " " " " " " underline(-3x+6" " " ")` `larr`product of -3 and divisor
`" " " " " " " " " " " " " " "0` `larr`remainder(result of subtraction)

God bless....I hope the explanation is useful.