Answer:
[tex]\text{The quotient is }4x^2 -27x +167[/tex]
Remainder is -996
Step-by-step explanation:
[tex]\text{Given the polynomial }4x^3-3x^2+5x+6\text{ which is to be divided by }x+6[/tex]
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.
[tex]\text{The quotient is }4x^2 -27x +167[/tex]
Remainder is -996
