Question

X-3)4x^2+3x+2 what is the quotient?

Answer 1

I have to make assumptions here about what you mean.  Are you to divide 4x^2 +3x +2 by (x-3)?  

If so, you could use either long division or synthetic division.  Which of these are you familiar with?

I will begin by using synthetic division.  Setting up synth. div. results in

    _______________
3 /  4          3           2
     ______12_____45____
       4         15         47

This tells us that x-3 divides into 4x^2 + 3x + 2 with a remainder of 47.

Please double check that you have copied down this problem correctly and that I understood your presentation of the problem.

Answer 2

Answer:

4x+15

Step-by-step explanation:

Given : Divisor = $x-3$

           Dividend = $4x^2+3x+2$

To Find : Quotient

Solution:

$Dividend = (Divisor \times Quotient) + Remainder$

$4x^2+3x+2 = (x-3 \times 4x) +(15x+2)$

$4x^2+3x+2 = (x-3 \times 4x+15) +(47)$

So, The quotient is 4x+15

Hence The quotient of the given expression is 4x+15