Use synthetic division to solve (4x2 – 3x2 +5x+6) + (x+8). What is the quotient? 4x2 - 27x+167-
996
X-6
792
4x2+21X+ 131+
X+ 6
792
4x2 + 21X+131+
X-6
4x2 - 27x+167-
996
X+6

answer d

4x² -27x +167 -996 / (x+6)

Step-by-step explanation:

you wrote down the equation wrong. Looking at the (unclear) picture, I see this:

(4x³ -3x² +5x +6)

/ (x+6)

x+6 = 0 gives x = -6

So synthetic division using -6

Term 1 = 4

-6 (4) = -24 and -3 + -24 = - 27 so Term 2 = -27

-6 (-27) = 162 and 5 + 162 = 167 so Term 3 = 167

-6 (167) = -1002 and 6 + -1002 = -996 so the last term is the remainder and it is -996 / (x+6)

Now you have found your answer, which is answer d.

4x² -27x +167 -996 / (x+6)

g

step-by-step explanation: