Question

FIND THE REMAINDER WHEN
${x}^{101} - 1$
IS DIVIDED BY
$x - 1$
$\texttt \red{NOTE:-}$

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Answer 1

QUESTION-:

Find the remainder when x¹⁰¹ is divided by x-1

EXPLANATION-:

Let p(x)= x¹⁰¹-1

Let's use the remainder theorem-:

→x-1=0

→x=1

So the remainder will be p(x)

Substituting values-;

→p(1)=1¹⁰¹-1

→p(1)=0    [∵ 1¹⁰¹ is 1]

So the remainder is 0

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Answer 2

Step-by-step explanation:

Given: ${x}^{101} - 1$

To find : Find the remainder when ${x}^{101} - 1$ is divided by x-1.

Solution:

Remainder Theorem: Put the value of x in Divisor polynomial and find the value of remainder.

Step 1: Put x-1 equal to 0.

$x - 1 = 0 \\ \\ x = 1$

Step 2: Put value of x=1 into ${x}^{101} - 1$

$= > ( {1)}^{101} - 1 \\ \\ = > 1 - 1 \\ \\ = > 0$

Final answer:

Remainder is 0.

Hope it helps you.

To learn more on brainly:

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