Question

Find the coefficient of x^11 in (2x^2+x-3)^6

Answer 1

inside bracket we have quadratic whose, discriminent =25
it's roots are (x-1)(2x+3)
now question becomes
(x-1)power6 * (2x+3) power 6
Now we have cases
1) Coeff. of x4 from 1st factor * coefficient. of x7 from second factor

2)coeff. of x5 from 1st*coeff. of x6 from 2nd

3).coeff. of x6*coeff of x5
4)coeff of x7* coeff of x4
Now solve each case and add them all to get answer