## anonymous one year ago can anyone explain prime trinomials and give me an example of 1 that can't be solved?

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1. zepdrix

You're familiar with prime numbers, yes? A number is prime if it has no other factors besides 1 and itself. Example: $$\large\rm 5=1\cdot5$$ We do the same with polynomials. A polynomial is a prime trinomial if it can not be broken down into factors besides 1 and itself. Example: $$\large\rm x^2+x-1\quad=\quad1\cdot(x^2+x-1)$$

2. zepdrix

There are a lot of prime trinomials. Take for example, $$\large\rm x^2+6x+8$$ This is NOT prime, it factors into $$\large\rm (x+4)(x+2)$$ Alternatively $$\large\rm x^2+6x+7$$ is prime. $$\large\rm x^2+6x+6$$ is prime. $$\large\rm x^2+6x+4$$ is prime.

3. zepdrix

Do you understand how factoring works? :o If not, prime trinomials might be a lil confusing.