1.

What is the remainder when p(x) is divided by (x-1) x3-2x2+x+1

Answer»

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+x³-2x²+x+1,

Now,

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

p(1) = 1⁴+1³-2(1)²+1+1

= 1+1-2+1+1

= 4-2

= 2

Therefore,

Remainder = 2


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