Math, asked by iiiii3, 1 year ago

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

Answers

Answered by SerenaBochenek
400

Answer:

\text{The remainder when }x^4+x^3-2x^2+x+1\text{ is divided by x-1 is 2}

Step-by-step explanation:

Given the polynomial

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

we have to find the remainder when above polynomial is divided by (x-1).

By remainder theorem

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

P(1)=(1)^4+(1)^3-2(1)^2+1+1

P(1)=1+1-2+2

P(1)=2

Hence, the remainder is 2

\text{The remainder when }x^4+x^3-2x^2+x+1\text{ is divided by x-1 is 2}

Answered by mysticd
113

Answer:

Remainder = 2

Step-by-step explanation:

Remainder Theorem:

If p(x) be any polynomial of degree greater than or equal to 1 and p(x) is divided by the linear polynomial (x-a),then the remainder is p(a).

Here ,

p(x)=x⁴+-2x²+x+1,

Now,

p(x) is divided by (x-1) then the remainder is p(1)

p(1) = 1+1³-2(1)²+1+1

= 1+1-2+1+1

= 4-2

= 2

Therefore,

Remainder = 2

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