Question

How do you divide `(x^2+15x+54 )/( x+6)`?

Answer 1

`x^2+15x+54=x^2+9x+6x+54=x(x+9)+6(x+9)=(x+6)(x+9)`
so
`(x^2+15x+54)/(x+6)=((x+6)(x+9))/(x+6)=x+9`