Question

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

/3x/ 2/
___/__/__/
___/__/__/
___/__/__/

Which terms belong to one of the shaded cells inside the table? Check all that apply. a. -9x^2 b. -6x c. x^2 d. 5x^2 e. 15x^3

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`