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

-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

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