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

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.

                           

   

Answer 2

Answer:

d & e

Step-by-step explanation: