Form a quadratic polynomial one of whose zeroes is root5 and the product if the zeroes is -2root5
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general form of quadratic polynomial is x²-(alpha+beta)x+(alpha ×beta)
given alpha +beta=√5 , alpha×beta=-2√5
therefore the polynomial is
x²-(√5)x+(-2√5)
x²-√5x-2√5 is required polynomial.
given alpha +beta=√5 , alpha×beta=-2√5
therefore the polynomial is
x²-(√5)x+(-2√5)
x²-√5x-2√5 is required polynomial.
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