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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

Respuesta :

Answer:

Step-by-step 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)

Answer:

The answer is D

Step-by-step explanation:

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