Question

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

/3x/ 2/
___/__/__/ <--- this row shaded
___/__/__/
___/__/__/

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

d & e

Explanation:

Answer 2

Answer: Option d.
`15x^3` is right.

Explanation: For determining all the term in the shaded reason we must divide
`15x^3+x^2-3x+2` by
`3x-2`

since 3x-2=0 then x=2/3 and 2/3 is the root of the
`15x^3+x^2-3x+2` because
`15x^3+x^2-3x+2=0` at 2/3 then it will completely divided by 3x-2

So, we can right,
`15x^3+x^2-3x+2=( 5x^2-3x+1)(3x-2)`

after comparing this to the shaded reason in first row we will get 5x^2, -3x, and 1 .

Thus, option d .
`5 x^2` will be right.