anonymous
  • anonymous
can anyone explain prime trinomials and give me an example of 1 that can't be solved?
Algebra
katieb
  • katieb
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zepdrix
  • 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: \(\large\rm x^2+x-1\quad=\quad1\cdot(x^2+x-1)\)
zepdrix
  • 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.
zepdrix
  • zepdrix
Do you understand how factoring works? :o If not, prime trinomials might be a lil confusing.

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