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x^2 +5x +10 divided by x + 2
We can use long method for this problem
x + 3
______________
x+2 /x^2 + 5x + 10
-(x^2 + 2x) Change the signs. becomes -x^2 - 2x
___________
3x + 10 Bring down 10
-(3x + 6 ) Change the sign becomes, -3x - 6
___________
4 Remainder
4
x^2 +5x +10 / x + 2 = x + 3 + _______
x + 2
checking :
(x + 2)(x + 3) + 4
x^2 + 5x + 6 + 4
x^2 + 5x + 10