SOLUTION: How can you tell if a polynomial of the form x²+bx+c is prime? How can you tell if a polynomial of the form ax²+bx+c (where a is a positive number not equal to 1) is prime?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: How can you tell if a polynomial of the form x²+bx+c is prime? How can you tell if a polynomial of the form ax²+bx+c (where a is a positive number not equal to 1) is prime?       Log On


   



Question 4210: How can you tell if a polynomial of the form x²+bx+c is prime?
How can you tell if a polynomial of the form ax²+bx+c (where a is a positive number not equal to 1) is prime?

Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
Calculate b%5E2+-+4ac, which comes from the quadratic formula. If b%5E2+-+4ac is a perfect square, then the polynomial can be factored. If it is NOT a perfect square, then the polynomial does not factor and it is prime. It doesn't matter if a is positive or negative, whether or not a = 1.