If the coefficient of x in the expansion of (ax²+bx+c)(1-2x)²⁶ is -56 and the coefficients of x² and x³ are both zero, then a+b+c is equal to:

Binomial Theorem and Its Simple Applications: JEE Main 2026 Mathematics question

JEE Main 2026 · 21 Jan, Morning shift · Q6

JEE Main 202621 Jan, Morning shiftMathematicsEasyBinomial Theorem and Its Simple Applications131× since 2002

If the coefficient of

x

in the expansion of

(ax^2+bx+c)(1-2x)^{26}

-56

and the coefficients of

x^2

and

x^3

are both zero, then

a+b+c

is equal to :