1. If n is a whole number, then n2+n+11 is a prime number.
False, all I need is one counter-example
let n = 11
then n^2 + n + 11
= 11^2 + 11 + 11
= 11(11 + 1 + 1)
= 11(13) <---- which cannot be prime, since I was able to factor it
Is this a true/false question?
x/x=1 where x is a real number provide counter example..
Well, my math skills might be a bit rusty, but let's see if I can clown around with this equation.
If n is a whole number, then n² + n + 11 is a prime number.
Hmm, let's test this out with a few values of n.
For n = 1, we get 1² + 1 + 11 = 13, which is a prime number!
For n = 2, we get 2² + 2 + 11 = 17, which is also a prime number!
Okay, let's try again with n = 3. We get 3² + 3 + 11 = 23, which is yet again a prime number!
These are just a few examples, but it seems like our equation might actually hold up here. So, perhaps this statement is true! But don't just take my clown word for it, do some more math and verify it yourself.
To determine if the expression n^2 + n + 11 is prime for any given whole number n, you would need to substitute different values for n and check if the resulting expression is prime.
Here's how you can approach it:
1. Start by selecting a whole number n.
2. Substitute the value of n into the expression n^2 + n + 11.
3. Calculate the result of the expression.
4. Check if the result is a prime number.
To determine if a number is prime, you can use the following approach:
1. If the result is less than 2, it is not prime.
2. If the result is 2, it is prime.
3. If the result is divisible by any number greater than 2 and less than its square root, it is not prime.
4. If none of the above conditions are met, the number is prime.
By following these steps, you can substitute different values of n into the expression and check if the resulting numbers are prime.