SOLUTION: Are trinomials in the form ax squared + bx + c , prime polynomials if a,b and c are prime.

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Question 27978: Are trinomials in the form ax squared + bx + c , prime polynomials if a,b and c are prime.
Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
Are trinomials in the form ax squared + bx + c , prime polynomials if a,b and c are prime.
YOU ARE PARTIALLY CORRECT.
A,B,C NEED NOT BE PRIME NUMBERS.BUT THEY SHOULD BE PRIME TO EACH OTHER.THAT IS THEIR GCD SHOULD BE 1.
THEN THE POLYNOMIAL IS CALLED PRIMITIVE POLYNOMIAL...AND NOT REPEAT NOT...PRIME POLYNOMIAL.
PLEASE NOTE THAT A PRIMITIVE POLYNOMIAL CAN STILL BE REDUCED BY FACTORISATION..EX....X^2+5X+6...WE HAVE 1,5 AND 6 ARE PRIME TO EACH OTHER AND THEIR GCD IS 1.
BUT X^2+5X+6 =(X+2)(X+3)