Final answer:
The sum of the three consecutive whole numbers with a product of 210 is 18.According to the problem, x(x+1)(x+2) = 210. Expanding the equation, we get x^3 + 3x^2 + 2x - 210 = 0.
Step-by-step explanation:
To find the sum of three consecutive whole numbers whose product is 210, we need to find the three numbers. Let's call the first number x. The next two consecutive numbers will be x+1 and x+2.
According to the problem, x(x+1)(x+2) = 210. Expanding the equation, we get x^3 + 3x^2 + 2x - 210 = 0.
We can solve this equation by factoring or by trial and error. By trial and error, we find that x = 5 satisfies the equation. So, the three numbers are 5, 6, and 7. Their sum is 5 + 6 + 7 = 18.