Question

Use synthetic division to solve (4 x cubed minus 3 x squared + 5 x + 6) divided by (x + 6). What is the quotient?

4 x squared minus 27 x + 167 minus StartFraction 996 Over x minus 6 EndFraction
4 x squared + 21 x + 131 + StartFraction 792 Over x + 6 EndFraction
4 x squared + 21 x + 131 + StartFraction 792 Over x minus 6 EndFraction
4 x squared minus 27 x + 167 minus StartFraction 996 Over x + 6 EndFraction

Answer 1

The answer is D

Explanation:

Answer 2

Explanation:

as x+6 is the quotient, you need to use -6

-6 | 4 -3 +5 6

x -24 +162 -1002

add

4 -27 167 -996

f(x)= 4x^2 -27x +167 - 996/(x+6)

Lets check

(x+6)(4x^2 -27x +167)= 4x^3 -27x^2 +167x + 24x^2 - 162x + 1002 =

= 4x^3 - 3x^2 +5x +1002

1002-996= 6

So we have the correct solution: 4x^2 -27x +167 - 996/(x+6)