Question

The table represents the start of the division of 15x3 + x2 - 3x + 2 by 3x + 2.

Answer 1

The result of dividing $15x^{3}+x^{2}-3x+2$ by $3x+2$ is $5 x^{2} -3x+1$ with no remainder. Please check the step by step procedures in the picture attached.
We can conclude that:
The quotient of the division is $5 x^{2} -3x+1$
The remainder of the division is $0$
The divisor is $3x+2$
The dividend is $15x^{3}+x^{2}-3x+2$