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2x³+ax²+bx−2 has factors x−1 and x+1. Find (a,b).

A(2,−2)
B(2,2)
C(−2,−2)
D(−2,2)
Answer & Solution
Correct answer: A. (2,−2)
Substitution of 1 and −1 gives a+b=0 and a−b=4, hence a=2 and b=−2.
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