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

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Answer 1 · 2018-03-03T01:53:15

Quotient is $x+2$

$x^3+6x^2+11x+6$

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

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

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

Hence quotient is $x+2$

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