There is an integer n such that 2n2 − 5n + 2 is prime. To prove the statement it suffices to find a value of n such that (n, 2n2
− 5n + 2) satisfies the property "2n2 − 5n + 2 is prime." Show that you can do this by entering appropriate values for n and 2n2 − 5n + 2.
1 answer:
Answer:
n = 0 or 3
Step-by-step explanation:
2n² - 5n + 2
2n² - 4n - n + 2
2n(n - 2) -1(n - 2)
(n - 2)(2n - 1)
Prime number is one which is divisible by itself and 1
n-2 = 1 n = 3
2n-1 = 1 n = 0
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