Shelacagas29idn
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If n is a whole number, then n^2+n+11 is a prime number​

Sagot :

Wynliviaidn

Answer and step-by-step explanation:

To determine if the given statement is true or false, we should know that a prime number is a natural number that can be divided (without a remainder) by itself and one.

Example of Prime Numbers: 2, 3, 5, 7, 11

"If n is a whole number"

Let's try substituting any whole number to n. Then simplify.

Let n be 4 and 13, they are whole numbers but one is a composite number and one is a prime number.

n^2 + n + 11

(4)^2 + 4 + 11

= 16 + 4 + 11

= 31 (a prime number)

(13)^2 + 4 + 11

= 169 + 4 + 11

= 184 (not a prime number)

Thus, if you substitute a prime number to the given equation, the result will be a composite number.

Therefore, the given statement is false.

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