Home
Class 9
MATHS
Find the remainder obtained on dividing...

Find the remainder obtained on dividing `p(x)=x^3+1`by `x+1`

Text Solution

AI Generated Solution

To find the remainder when dividing \( p(x) = x^3 + 1 \) by \( x + 1 \), we can use polynomial long division. Here’s the step-by-step solution: ### Step 1: Set up the division We want to divide \( p(x) = x^3 + 1 \) by \( d(x) = x + 1 \). ### Step 2: Divide the leading terms Divide the leading term of \( p(x) \) by the leading term of \( d(x) \): \[ ...
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

If the remainder obtained on dividing the polynomial 2x^(3)-9x^(2)+8x+15 by (x-1) is R_(1) and the remainder obtained on dividing the polynomial x^(2)-10x+50 by (x-5) is R_(2), then what is the value of R1-R2?

f(x)=ax^(5)+bx^(3)+cx+1 and remainder obtained by dividing f(x) with (x-1) and x-2 are 1,2 respectively then find the remainder obtained when f(x) is divided with (x+1)(x+2)

Find the remainder by dividing x^3+3x^2+3x+1 by the following

Let p(x)=x^(4)-3x^(2)+2x+5. Find the remainder when p(x) is divided by (x-1)

Find the remainder when (x+1)^(n) is divided by (x-1)^(3)

Find the remainder when x^(45), is divided by x^(2)-1

Let f(x-(1)/(x))=x^(2)+(1)/(x2) , find the remainder when f(x) is divided by x -3 .

BY Remainder theorem , find the remainder when p(x) is divided by g(x) (i) p(x) =x^(3)-2x^(2)-4x-1, g(x)=x+1 (ii) p(x) =x^(3)-3x^(2)+4x+50, g(x) =x-3

Find the remainder when the polynomial p(x)=x^(4)-3x^(2)+5x+1 is divided by (x-2).