Question

Which expression is equivalent to x^2+3x+3+[(2x^2+13x+15)/(x+5)] ?

A) x^2+9x+9

B) x^2+5x+6

C) x^2+9x+48

D) x^2+5x+19

Answer 1

B). x^2 + 5x + 6.

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.