Question

what is the quotient? 4x^2+3x+2 divided by x-3

Answer 1

For this case, we must build a quotient that, when multiplied by the divisor, eliminates the terms of the dividend until it reaches the remainder.

quotient: $4x + 15$

Divisor: x-3

Dividend: $4x ^ 2 + 3x + 2$

Remainder: 47

It must be fulfilled that:

Dividend = Quotient * Divisor + Remainder

Answer:

See attached image