What is the quotient (x^3+3x^2+5x+3)/(x+1)

observe that

x³ + 3x² + 5x + 3 = x³ + 3x² + 3x + 1 + 2x + 2

= (x + 1)³ + 2(x + 1)

= (x + 1)((x + 1)² + 2)

= (x + 1)(x² + 2x + 3)

so the quotient is

x² + 2x + 3

Step-by-step explanation:

Wehn you are faced with the next division you have to factorize the polynomial function:

Now you have to separate it in two factors, one of them being (x+1) so you can after eliminate it:

And now you just eliminate the same binomials from both sides of the division and you´d end up with the next division:

And the answer to the division is:

d

step-by-step explanation:

d