I tried a lot to solve this question but couldnt figure our the answer . I hereby kindly request the expert to solve my question .Thanks in advance !

Question is

If 6x^3 + 11x^2 – 17x – 30 = (ax + b) (cx + d) (ex + f), then what is the value of ab + cd + ef?

In this question : take out the roots for the equation on the left hand side. Put the value of x= -2 it will be one root. So from that the roots of the equation on the LHS would be : (x+2)(2x+3)(3x-5) = (ax+b)(cx+d)(ex+f) ; equate the coefficients and then you will get your value. SUNIL KUMAR Askiitians Faculty

Approved

Thanks a lot sir !