Let P(x) = x² - 3x - 7, and let Q(x) and R(x) be two quadratic polynomials also with the coefficient of x² equal to 1. David computes each of the three sums P + Q, P + R, and Q + R and is surprised to find that each pair of these sums has a common root, and these three common roots are distinct. If Q(0) = 2, then find R(0).

(In reply to Thoughts by Brian Smith)

I'm not sure why you stopped there.  You were basically done.

Posted by Jer on 2025-03-10 13:26:00