Answer :

Answer:

B).  x^2 + 5x + 6.

Step-by-step explanation:

x^2 + 3x+3 + [(2x^2 + 13x +15)/(x + 5)]

=   x^2 + 3x+3 + [(2x^2 + 10x + 3x +15)/(x + 5)]

=   x^2 + 3x+3 + [(2x(x + 5) + 3(x + 5)/(x + 5)]

=   x^2 + 3x+3 + [(2x+ 3)(x + 5)/ (x + 5)]

= x^2 + 3x + 3 + (2x +3)

= x^2 + 5x + 6.

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