Solving a Polynomial Sum Without a Calculator | Symmetry Trick Explained!

In this video, we solve a polynomial sum step-by-step without using a calculator! Learn how to leverage symmetry in functions to simplify complex problems like summing f(x) from -8 to 12. If you're interested in smart math tricks and want to boost your problem-solving skills, this video is for you. Don't forget to like, comment, and subscribe for more math challenges and solutions!

[raghvendrasingh]

Nice problem
f(x)= x(x-2)(x-4) +9
we put x= t+2
g(t) = t^3 - 4 t +9
obviously t^3 - 4 t is an odd function hence
S = = 0+ 21× 9 = 189