Question

By long division method , divide the polynomial x^4+x^3-2x^2-x+1 by x+1 and verify the remainder by using remainder theorem

Answer 1

Answer:

By both method remainder is same .i.e, 2

Step-by-step explanation:

Given Dividend = x^4+x^3-2x^2+x+1

Divisor = x - 1

Long division is attached in pics.

remainder we get = 2

According to remainder theorem when a polynomial , p(x) is divided by a liner polynomial of form x - a then p(a) gives the value of remainder,

According to he remainder theorem,

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

Remainder = p(1) = 1^4+1^3-2\times1^2+1+1 = 1 + 1 - 2 + 1 + 1 = 2

Therefore, By both method remainder is same .i.e, 2

Step-by-step explanation:

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Answer 2

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