Question

What is the quotient of (x3 3x2 5x 3) Ă· (x 1)? x2 4x 9 x2 2x x2 2x 3 x2 3x 8.

Answer 1

The quotient of expression is $\rm x^2+2x+3$.

Given that,

Expression; $\rm\dfrac{ (x^3 + 3x^2 + 5x + 3) }{ (x + 1)}$

We have to determine,

The quotient of expression?

According to the question,

To determine the quotient of expression following all the steps given below.

Simplify the expression,

$\rm =\dfrac{ (x^3 + 3x^2 + 5x + 3) }{ (x + 1)}\\\\= \dfrac{ (x^3 + 2x^2 + 3x + x^2+2x+ 3) }{ (x + 1)}\\\\ = \dfrac{ x(x^2+ 2x+ 3) + 1(x^2+2x+ 3) }{ (x + 1)}\\= \dfrac{ (x^2+ 2x+ 3) (x+1) }{ (x + 1)}\\\\= x^2+2x+3$

Hence, The required quotient of expression is $\rm x^2+2x+3$.

For more details refer to the link given below.

https://brainly.com/question/12895249