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## Answers

First number: x

Second number: x + 1

Third number: x + 2

Equation:

(x) (x + 1) (x + 2) = 1,320

(x² + x) (x + 2) = 1,320

x³ + 2x² + x² + 2x = 1,320

x³ + 3x² + 2x = 1,320

x³ + 3x² + 2x - 1,320 = 0

**P(x) = x³ + 3x² + 2x - 1,320**

Using the Rational Root Theorem/ Rational Root Test, x = 10

Plug 10 to representation:

First number: x = 10

Second number: 10 + 1 = 11

Third number: 10 + 2 = 13

**ANSWER: The three consecutive numbers are 10, 11, and 12.**

Check:

The product of three consecutive numbers is 1,320.

(10) (11) (12) = 1,320

(110) (12) = 1,320

1,320 = 1,320 (TRUE)

**PLEASE CLICK IMAGE BELOW TO VIEW SOLUTION USING THE RATIONAL ROOT TEST IN SOLVING POLYNOMIALS WITH DEGREE OF 3 AND ABOVE.**