Question

find the remainder when x⁴+x³- 2x²+x+1 is divided by x-1​

Answer 1

Answer: Remainder is 2, when x⁴+ x³-2x²+ x + 1 is divided by x-1

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Answer 2

Answer:

Given:

• Two polynomials. • x ^ 4 + x ^ 3 - 2x ^ 2 + x + 1

x - 1

To find:

Find the remainder when x^ 4 + x ^ 3 - 2x ^ 2 + x + 1 is divided by x - 1 .

Solution:

Theorem\Concept to be used:

Remainder Theorem: When a polynomial p(x) is divided by x - a , then remainder is given by p(a); i.e. value of polynomial at x = a .

Step 1:

Find value of x from x - 1 .

So ,

x - 1 = 0

Thus,

x - 1 = 0

Thus,

x = 1

Step 2:

Put the value of x in p(x)

Let p(x) = x ^ 4 + x ^ 3 - 2x ^ 2 + x + 1

p(1) = (1) ^ 4 + (1) ^ 3 - 2 * (1) ^ 2 + (1) + 1

or

p(1) = 1 + 1 - 2 + 1 + 1

or

p(1) = 2

Thus,

Remainder is 2, when x^ 4 +x^ 3 -2x^ 2 + x + 1 is divided by x - 1

Step-by-step explanation:

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