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?
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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) (Show Source): You can put this solution on YOUR website!
Calculate , which comes from the quadratic formula. If 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.
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