Integral roots
Algebra
Level
3
If is one root of , where p and q are integers, then p + q = ?
The answer is -3.
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Assume that the other root is 2 − 3 , which the the conjugate of the original root. Multiply them to get q , which is 1 , and add them to get − p , which turn out to be 4 , which means that p = − 4
So p + q = − 4 + 1 = 3