Quadratic Expressions and Prime Numbers

The video tutorial explores whether the expression n^2 + n + 5 results in a prime number for any whole number value of N. Ali hypothesizes that it always results in a prime number. The teacher demonstrates the process of substituting values for N, showing calculations for N=1, 2, 3, and 4. While the first three values yield prime numbers, N=4 results in 25, which is not prime. This disproves Ali's hypothesis. The tutorial emphasizes the importance of reasoning and evaluation in mathematical problem-solving, explaining how to earn marks by showing calculations and conclusions.

What is the expression that Ali believes will yield a prime number for any whole number value of N?

What reasoning must be provided when answering whether Ali's statement is correct?

Describe the process used to determine whether the expression yields prime numbers for values of N from 1 to 4.

Explain why the value of E is not a prime number when N equals 4.

How many marks are available for the question regarding Ali's claim, and what are the criteria for earning those marks?