Question

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

Answer 1

Answer:

ANSWER:- REMAINDER = 2

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Answer 2

GIVEN :-

• p(x) = x⁴ + x³ - 2x² + x + 1.

TO FIND :-

• The Remainder By Remainder theorem.

SOLUTION :-

➠ Remainder theorem :- If p(x) is is any polynomial of degree greater than or equal to 1 and p(x) is divided by the linear polynomial x - a , Then the reminder is p(a).

★ Let x - 1 = 0

★ x = 1

→ p(x) = x⁴ + x³ - 2x² + x + 1

→ p(1) = (1)⁴ + (1)³ - 2 × (1)² + 1 + 1

→ 1 + 1 - 2 × 1 + 1 + 1

→ 2 - 2 + 2

→ 4 - 2

→ 2

❏ Hence the Remainder is 2.