Divide 2×2 + 17x + 35 by x + 5.

Divide 2×2 + 17x + 35 by x + 5.

Input
(2 x^2 + 17 x + 35)/(x + 5)
Result
2 x + 7 (for x!=-5)
Expanded form
(2 x^2)/(x + 5) + (17 x)/(x + 5) + 35/(x + 5)
Quotient and remainder
2 x^2 + 17 x + 35 = (2 x + 7) × (x + 5) + 0
Root
x = -7/2
Derivative
d/dx((2 x^2 + 17 x + 35)/(x + 5)) = 2
Indefinite integral
integral (35 + 17 x + 2 x^2)/(5 + x) dx = x (x + 7) + constant

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