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Other two Zeroes.14. Given that x -V5 is a factor of the cubic polynomial x3 - 3/5x2 + 13x - 3/5 , find allthe zeroes of the polynomial.[NCERT EXEMPLAR)MCIGOS |
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Answer» x - root(5) is factor of x^3 - 3root(5)x^2 + 13x - 3root(5)=0 Then, x^3 - root(5)x^2 - 2root(5)x^2 + 10x + 3x - 3root(5)=0x^2(x- root(5)) - 2root(5)x(x - root(5)) + 3(x - root(5)) = 0(x - root(5))(x^2 - 2root(5)x + 3) = 0 |
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