Question

The product of two consecutive integers is 420. An equation is written in standard form to solve for the smaller integer by factoring. What is the constant of the quadratic function in this equation?

Answer 1

Let the smaller integer be x.
The larger integer is x + 1.

x(x + 1) = 420

x^2 + x = 420

x^2 + x - 420 = 0

The constant is -420.