Create your own polynomial with a degree greater than 2.find the zeros of the function.

2 answers

It's easy to construct such a polynomial with zeroes that are very difficult to find:

3x^5 - 12x^4 + 9x^3 + x^2 - 12

But, if you start out with the roots, it's easy to build the polynomial:

(x-3)(2x+5)(3x-7)(x^2+4) = 6x^5 - 17x^4 - 14x^3 + 37x^2 - 152x + 420
hi, i do online classes and they don't really give much explanation on how to do things so could you explain to me what 'find the zero's means? i haven't taken math in a very long time.