Check whether 2/3 are the zeroes of the polynomial p(x) when p(x) = 3x – InterviewSolution

1.

Check whether 2/3 are the zeroes of the polynomial p(x) when p(x) = 3x^2-11x+6

Answer»

$3 {x }^{2} - 11x + 6 = 0$

$3 {x}^{2} - 11x + 18 = 0$

by FACTORISATION,

$3 {x}^{2} - 9x - 2x + 18 = 0$

$3x(x - 9) - 2(x - 9) = 0$

$(x - 9)(3x - 2) = 0$

$x = 9 \: and \\ x = 2 \div 3$

HENCE, the CORRECT OPTION is2/3

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