Answer:
-420
Step-by-step explanation:
Let x represent the first integer. The next consecutive integer would then be given by x+1. Their product would be
x(x+1)
Since the product is 420, this would be
x(x+1) = 420
Using the distributive property, we have
x(x) + x(1) = 420
x² + x = 420
To make the equation equal 0, subtract 420 from each side:
x² + x - 420 = 420 - 420
x² + x - 420 = 0
The constant is -420
