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 expression in this equation?

x2 + x +
= 0

Answer 1

-420

Explanation:

let the two consecutive integers be

x and (x + 1)

The product of two consecutive integers is 420

x(x + 1) = 420

Distribute

x² + x = 420

Subtract 420 from both sides

x² + x - 420 = 0

The constant is

-420