(C) To find the sum of the coefficients in the expansion of a polynomial,we set all variables equal to $1$.Given the expression $(x + 2y + 3z)^8$,we s

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

(C) To find the sum of the coefficients in the expansion of a polynomial,we set all variables equal to $1$.Given the expression $(x + 2y + 3z)^8$,we substitute $x = 1$,$y = 1$,and $z = 1$.Sum of coefficients $= (1 + 2(1) + 3(1))^8$$= (1 + 2 + 3)^8$$= 6^8$.

Class 11 Mathematics Binomial Theorem Expansion of binomial theorem

Easy

The sum of coefficients in the expansion of $(x + 2y + 3z)^8$ is

A
$3^8$
B
$5^8$
C
$6^8$
D
None of these

Explore More

Browse All

Question Bank

All Subjects

Class 11 Questions

Class 11

Mathematics Questions

Chapter

Binomial Theorem

Subtopic

Expansion of binomial theorem

The expression $[x + (x^3 - 1)^{1/2}]^5 + [x - (x^3 - 1)^{1/2}]^5$ is a polynomial of degree

Medium

View Solution

The coefficient of $x^{50}$ in the binomial expansion of $(1 + x)^{1000} + x(1 + x)^{999} + x^{2}(1 + x)^{998} + \dots + x^{1000}$ is

DifficultJEE MAIN 2014

View Solution

The number of terms in the expansion of $(x^{2}+y^{2})^{25}-(x^{2}-y^{2})^{25}$ after simplification is

MediumKCET 2019

View Solution

If the roots of $x^5-ax^4+bx^3-cx^2+dx-1=0$ are all positive such that their arithmetic mean and geometric mean are equal,then $a+b+c+d=$

MediumTS EAMCET 2022

View Solution

Using the Binomial Theorem,evaluate $(101)^{4}$.

Medium

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

The sum of coefficients in the expansion of $(x + 2y + 3z)^8$ is

Similar Questions

The expression $[x + (x^3 - 1)^{1/2}]^5 + [x - (x^3 - 1)^{1/2}]^5$ is a polynomial of degree

The coefficient of $x^{50}$ in the binomial expansion of $(1 + x)^{1000} + x(1 + x)^{999} + x^{2}(1 + x)^{998} + \dots + x^{1000}$ is

The number of terms in the expansion of $(x^{2}+y^{2})^{25}-(x^{2}-y^{2})^{25}$ after simplification is

If the roots of $x^5-ax^4+bx^3-cx^2+dx-1=0$ are all positive such that their arithmetic mean and geometric mean are equal,then $a+b+c+d=$

Using the Binomial Theorem,evaluate $(101)^{4}$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module