Use synthetic division to solve (4x3-3x2+5x+6)/(x+6). what is the quotient?

Remainder is -996          

Step-by-step explanation:

we have to find the quotient using synthetic division

x+6 =0 , so x=-6

We divide by -6.

The steps for synthetic division are  

Step 1: Set up the synthetic division.

Step 2:  Put down the leading coefficient to bottom row.

Step 3: Multiply divisor which is on left by the value just written on the bottom row.

Step 4: Add the column created in above step.

Step 5: continue until we reached last column.

The synthetic division is shown in attachment.

Remainder is -996