Write a program to find roots of a polynomial equation

Question

X^5-x^4+x^3+x^2+x-354=0

Answer 1

Oh... I was thinking about differential equations😂
I'm not really sure how to do it, maybe try converting it to (x-a)(x-b)(x-c)(x-d)=0 and solve a,b,c,d?🤔

Answer 2

With Calculus and Engineering Math may help🤔

Answer 3

Try all factors of 354

Answer 4

It's Newton's method, used to find rational roots

Answer 5

Flandre scarlet, is there any method to find all roots of a function at once?

Answer 6

What if the equation resembles something like this '8x^4-54x^3+101x^2-54x+8=0'? Will the factoring method work here with this too? Or synthetic division? Flandre scarlet?

Answer 7

Synthetic division helps right? Except that we have to merge the use of quadratic root finding method to get to the final solution.

Answer 8

Thank you. Scarlet