Question 77217
*[invoke quadratic_factoring 1, -3, 7]

So this quadratic cannot be factored. This means the polynomial is prime. Notice that if you graph {{{x^2 - 3x + 7}}} it will not have any x-intercepts.

{{{ graph( 300, 200, -6, 5, -10, 10, x^2 - 3x + 7) }}} graph of {{{x^2 - 3x + 7}}}