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URGENT
Divide f(x) by d(x), and write a summary statement in the form indicated.

f(x) = x4 + 4x3 + 6x2 + 4x + 5; d(x) = x2 + 1

answer choices:
f(x) = (x2 + 1)( x2 + 4x + 5) + 12x - 15
f(x) = (x2 + 1)( x2 + 4x + 5)
f(x) = (x2 + 1)( x2 - 4x + 5)
f(x) = (x2 + 1)( x2 - 4x + 5) + 12x - 15

Respuesta :

joseaaronlara

Answer:

The answer to your question is: (x² + 4x + 5)(x² + 1)  Second option

Step-by-step explanation:

                                        x² + 4x + 5

                      x² + 1         x⁴ + 4x³ + 6x² + 4x + 5

                                     -x⁴            -   x²

                                       0   + 4x³ + 5x² + 4x

                                            - 4x³            -4x

                                               0      +5x²    0   + 5

                                                        -5x²          -5

                                                         0               0

Remainder = 0

The first and the last options are not solutions because there was not remainder.

The third option is incorrect because the second term is negative and must be positive.

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