SOLUTION: given that x =2 is a root of the equation x^2 + x +m = 0, find the other root and the value of m

SOLUTION: given that x =2 is a root of the equation x^2 + x +m = 0, find the other root and the value of m

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Question 1012925: given that x =2 is a root of the equation x^2 + x +m = 0, find the other root and the value of m

Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
If x=2 is a root, then (x - 2) is a factor.
We can divide x^2 + x + m by x - 2 synthetically and we get
x + 3 + (m+6)/(x+2)...
This last term is the remainder and must be zero, so m = -6.
The other factor is (x+3) and thus the other root is x = -3.

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