The sum of coefficients of the polynomial ${(p^{x} + 2 q^{y} - 5 r^{z} + 10 s^{u})}^{1001}$ is

2^{3001} - 1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

2^{3002} + 1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

2^{3003}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

2^{3004}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is D $2^{3003}$
For sum of coefficient put all $p = q = r = s = 1$
Hence sum of coefficient is $= {(1 + 2 - 5 + 10)}^{1001} = 8^{1001} = 2^{3003}$

Suggest Corrections

Similar questions

The sum of the coefficients of the polynomial p(x)=(3x-2^17(x+1)^4 is:

-1

Please explain.

'1' is the coefficient of $x^{0}$ in the polynomial p(x)= $x^{5} + 3 x^{4} + 2 x^{2} + 1$

(1 + x - 3 x^{2})^{2163}

P (x) = 4 x^{2} - 1

4

1

p (x) = x^{2} - 5 x + 4

p (x)

Join BYJU'S Learning Program