Form an equation whose roots are 1, -1, i, -i
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Answered by
1
Answer:
X²-1
Step-by-step explanation:
Given two roots are 1, - 1
Considering 1 as alpha and - 1 as beta which are the two roots
Since there are two roots then it's a quadratic polynomial
Sum of roots = - b/a
1 + (-1) = - b/a
0 = - b/a
Product of roots = c/a
1* - 1 = c/a
-1 = c/a
Therefore values of a = 1 b=0 and c = - 1
Substituting values of a, b and c in the standard form ax²+bx+c = 0
X²-1 is the required polynomial
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Answer:
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