Answers

  • Brainly User
2016-05-03T13:11:15+08:00
Let:
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.
0