alpha beta gamma are zeros of cubic polynomial x^3-12x^2+44x+c. if alpha beta gamma are in Ap find the value of c class 10

1 answer

(x-alpha) (x-beta)(x-gama) = x^3 - 12 x^2 + 44x+c. So x^3 - x^2 (alpha+beta+gama)+ a(alphabeta+betagamma+gamma alpha)=alpha beta gama = x^3 - 12 x^2+44x+c, then alpha+beta+gama = -12.
Similar Questions
    1. answers icon 1 answer
  1. If alpha and beta are the zerosof the polynomial ax^2 + bx + c then evaluateA. (alpha)^2 / beta + (beta)^2 / alpha B. alpha^2
    1. answers icon 3 answers
  2. Three oil platforms, Alpha, Beta and Gammaare situated in the North Sea.Beta is 12 km from Alpha and is on a bearing of 145
    1. answers icon 1 answer
    1. answers icon 3 answers
more similar questions