Question

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

Answer 1

Answer:

The remainder is 2.

Step-by-step explanation:

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Answer 2

Topic:

• Remainder theorem

Question:

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

Solution:

For, p(x) ➟ x - 1 = 0

ㅤㅤㅤㅤ➟ x = 1

• Here, zero of x - 1 is 1

Let ,

➥p(x) = x⁴+ x³ - 2x² + x + 1

➥p(x) = 1⁴+ 1³ - 2 × 1² + 1 + 1

➥p(x) = 1+ 1 - 2 + 1 + 1

➥p(x) = 4 - 2

➥p(x) = 2

∴ By remainder theorem , the remainder is 2.

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