There are two answers to this question the first possible answer is 5, 6, and 7 and the second possible answer is -4, -3, and -2
Step-by-step explanation:
let the three numbers be (x-1), x, and (x+1) the product of the smallest and largest number is 17 more than 3 times the middle number, or (x-1)(x+1) = 3x+17, or x^2-1 = 3+17, or x^2-3x-18 = 0 (x-6)(x+3) = 0 So x = 6 or -3 Then just subtract one and add one to get the other integers. the three numbers are 5, 6, and 7 or -4, -3, and -2
Graphing the derivative with the function can illustrate how to find these turning points. The function is increasing exactly where the derivative is positive, and decreasing exactly where the derivative is negative. On the graph of the derivative find the x-value of the zero to the left of the origin.
