If f (x )=2x^3+mx^2-13x+n and 2,3 are the roots of the equation f (x )=0, then the values of m and n are

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Accepted Answer

Correct answer: B. (b) Given equation, f (x )=2x^3+mx^2-13x+n Let , , are the roots of f (x )=0 where =2 , =3 and let =k As we know, + + =- m2=2+3+k … . . (i ) αβ+ βγ+ γα=- 132=6+5k … . . ( ii ) αβγ=- n2=6k … . . ( iii ) From Eq. (ii), -13=12+10k ⇒k= -52 n=-12k=-12 ( -52 )=30 m=-10-2k=-10-2 ( -52 )

$If f (x) = 2 x^{3} + m x^{2} - 13 x + n and 2,3 are the roots of the equation f (x) = 0, then the values of m and n are$

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