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      

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x

150.6

all i did was i multiplied 5.02 by 30