find the quadratic polynomial sum of whose zeroes i 2root3 and their product is 2?
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We know that quadratic polynomial with sum of roots a and product of roots b is x²-ax+b.
Now Quadratic polynomial with roots sum i2√3 and product 2 is
=> x²-( i 2√3)x + 2 .
Therefore, x²-2√3 i + 2 is the required quadratic polynomial
Now Quadratic polynomial with roots sum i2√3 and product 2 is
=> x²-( i 2√3)x + 2 .
Therefore, x²-2√3 i + 2 is the required quadratic polynomial
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