find a cubic polynomial with the sum of the product of its zeroes taken two at a time and prodct of its zereos are 5,-6 , -20 reapectively
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= α+β+y = 5
= αβ+βy+αy = -6
= αβy = -20
= Required polynomial is,
= k(x3-(α+β+y)x2+(αβ+βy+αy)x-αβy)
= k(x3-(5)x2+(-6)x-(-20)
= k(x3-5x2-6x+20). (K = any real no. ).
= αβ+βy+αy = -6
= αβy = -20
= Required polynomial is,
= k(x3-(α+β+y)x2+(αβ+βy+αy)x-αβy)
= k(x3-(5)x2+(-6)x-(-20)
= k(x3-5x2-6x+20). (K = any real no. ).
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