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)

Since I'm running through the math, I thought I would correct a few typos. The 2nd and 3rd lines here should read:

Posted by Steven Lord on 2025-03-11 05:53:07