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

Mar 3, 2018

Quotient is $x + 2$

#### Explanation:

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

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

=$x \cdot \left({x}^{2} + 4 x + 3\right) + 2 \cdot \left({x}^{2} + 4 x + 3\right)$

=$\left({x}^{2} + 4 x + 3\right) \cdot \left(x + 2\right)$

Hence quotient is $x + 2$