If an integer leaves remainder 4 when divided by 5, what is the remainder when (n^2+n+1) is divided by 5?

Question

Answer and explanation

Correct answer: 1

Step 1: Replace (n) by its remainder 4. Step 2: The remainder of (n^2+n+1) comes from (4^2+4+1=21). Step 3: Dividing 21 by 5 gives remainder 1.

What is the correct answer to this question?

1

Why is this the correct answer?

Step 1: Replace (n) by its remainder 4. Step 2: The remainder of (n^2+n+1) comes from (4^2+4+1=21). Step 3: Dividing 21 by 5 gives remainder 1.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Euclid’s Division Lemma.