Question

Using Remainder Theorem find the remainder when x³ - x² + x - 1 is divided by x - 1​

Answer 1

Answer:

Remainder is 0

Explanation:

Let the given polynomial be,

⇒ p(x) = x³ - x² + x - 1

Which is to be divided by (x - 1)

By remainder theorem,

⇒ x - 1 = 0

⇒ x = 1

Then, substituting p(1)

⇒ p(1) = (1)³ - (1)² + (1) - 1

⇒ 1 - 1 + 1 - 1

⇒ 2 - 2

⇒ 0

∴ Remainder after dividing p(x) by (x - 1) is 0

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Remainder theorem :-

When a polynomial p(x) is divided by a linear polynomial (x - a) then the remainder of p(x) is given by p(a).

Answer 2

I hope this answer will help you