Question

What Is the quotient of `(x^3 + 6x^2 + 11x + 6) -: (x^2 + 4x + 3)`?

Answer 1

Quotient is `x+2`

Explanation:

`x^3+6x^2+11x+6`

=`x^3+4x^2+3x+2x^2+8x+6`

=`x*(x^2+4x+3)+2*(x^2+4x+3)`

=`(x^2+4x+3)*(x+2)`

Hence quotient is `x+2`