Math, asked by nani2016, 11 months ago

Find a cubic polynomial with the sum, some of the product of its zeroes taken two at a time, and the product of its zeroes as 2, -7, -14 respectively.​

Answers

Answered by dev5559
1

if alpha beta and gamma are the zeros of a cubic polynomial f(x) than

f(x) =k{xcube - ( alpha +beta+gamma) xsquare + (alphabeta+betagamma+gammaalpha) x - alphabetagamma}

where K is any non zero real number

hair alpha + beta + Gamma is equal to 2, alpha beta + beta gamma +, Alpha is equal to minus 7 and alpha beta gamma is equal to minus 14

therefore f(x)= k(x cube minus 2 x square - 7 x + 14 ),where there is any non zero number

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