Home
Class 11
MATHS
Find the coefficient of x in the expansi...

Find the coefficient of `x` in the expansion of `(1 - 3x + 7x^(2)) (1 - x)^(16)`.

Text Solution

Verified by Experts

Given, expansion `= (1 - 3x + 7x^(2)) (1 - x)^(16)`
`= (1 - 3x + 7x^(2)) (.^(16)C_(0) 1^(16) - .^(16)C_(1) 1^(15) x^(1) + .^(16)C_(2) 1^(14) x^(2) + ....+ .^(16)C_(16) x^(16))`
`= (1 - 3x + 7x^(2)) (1 - 16 x + 120 x^(2) + ....)`
`:.` Cefficient of `x = - 3 - 16 = - 19`
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    NCERT EXEMPLAR|Exercise Long Answer type question|6 Videos

  • BINOMIAL THEOREM

    NCERT EXEMPLAR|Exercise Objective type question|16 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NCERT EXEMPLAR|Exercise OBJECTIVE TYPE QUESTIONS|16 Videos

Similar Questions

Explore conceptually related problems

Find the coefficient of x^(10) in the expansion of (1-x^(2))^(10)

Find the coefficient of x^(7) in the expansion of (1+3x-2x^(3))^(10)

Find the coefficients of x^4 in the expansion of (1+x+x^2)^3

Find the coefficient of x^(n) in the expansion of (1+x)(1+x)^(n).

Find the coefficient of x^7 in the expansion of (2x^2+- 1/x)^20

Find the coefficient of x-2 in the expansion of (x-(1)/(x))^(12)

Find the coefficient of x^4 in the expansion of (1+x+x^2+x^3)^6

The coefficient of x^(3) in the expansion of (1-x+x^(2))^(5) is