3 years ago

Can someone help me?It's urgent and thank you!

Mathematics

1 answer:

allochka39001 [22]3 years ago

3 0

Answer:

the first option

Step-by-step explanation:

because x^3 is exponential while ab^2 is linear

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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.

brainly.com/question/12895249

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