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I have the following problem: 2t^2 + 5t + 2. 2t 2

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RASTA

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22:24 Uhr, 20.12.2021

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Tag!

I have the following problem:
2t2+5t+2.

t is a positive whole number. explain why this expression can never have a value that is a prime number.
I have factorized it to give me:
(2t+1)(t+2)
where do I go from there? I absolutely do not know. I know that prime numbers can only be factorized into 1 and the number itself. I do not understand wha they ask of me other than factoring.
Danke im Voraus
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Roman-22

Roman-22

01:44 Uhr, 21.12.2021

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>I have factorized it to give me:
>(2t+1)(t+2)

Great! And in case of a prime number, one of those factors must be either +1 or -1. Quite impossible with t, don't you think so , too?

Set both factors equal to ±1, one after the other, and solve for t, Then recall that t is said to be a whole positive number.
If you drop the requirement for t being positive, then there are actually solutions for t=0 ( prime 2) and t=-3 ( prime 5).

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RASTA

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17:44 Uhr, 21.12.2021

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thanks!
RASTA

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23:12 Uhr, 27.12.2021

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roman, buddy, as an afterthought to the question, where would you classify this question according to math skills. under what math topic/subject would you list?
thanks
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Roman-22

Roman-22

06:02 Uhr, 28.12.2021

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I would see it as an example of "solving quadratic equations".
Of course, you also need to know that the only divisors of a prime number are 1 and the number itself, and also how to factor a quadratic term. That is how to determine its zeros ("quadratic equation") and how to use them to finally factor the term.
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supporter

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06:14 Uhr, 28.12.2021

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vgl:
www.frustfrei-lernen.de/mathematik/abc-formel.html
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