PG1995
Active Member
Hi
Q1: A polynomial of the type x^2+7x-6 is not factorable over real numbers. I have always thought whenever there is such a case that a polynomial is factorable then the coefficient of the 'x' term would be a prime number but still that does not mean whenever the coefficient of 'x' term is a prime, it's not factorable. For instance, the coefficient of 'x' term in the polynomial, x^2+3x+2, is prime but it's still factorable. But still whenever a polynomial is not factorable over real numbers, the coefficient of 'x' term is going to be a prime. Do I have it correct? Please let me know. Thank you.
Q2: Is there a simple way to tell if a quadratic polynomial is not factorable by just looking at the coefficients?
Regards
PG
Q1: A polynomial of the type x^2+7x-6 is not factorable over real numbers. I have always thought whenever there is such a case that a polynomial is factorable then the coefficient of the 'x' term would be a prime number but still that does not mean whenever the coefficient of 'x' term is a prime, it's not factorable. For instance, the coefficient of 'x' term in the polynomial, x^2+3x+2, is prime but it's still factorable. But still whenever a polynomial is not factorable over real numbers, the coefficient of 'x' term is going to be a prime. Do I have it correct? Please let me know. Thank you.
Q2: Is there a simple way to tell if a quadratic polynomial is not factorable by just looking at the coefficients?
Regards
PG