2006-07-14 13:42:03 · 5 answers · asked by Wakil 1 in Science & Mathematics ➔ Mathematics
Another monic polynomial. You're probably supposed to try a few examples to find out.
I assume this leading towards the theorem that when you factor a monic polynomial, all of the factors are monic polynomials?
2006-07-14 14:18:17 · answer #1 · answered by Bob G 6 · 0⤊ 0⤋
as a results of very fact of incontrovertible fact which you have not got any further gotten an answer yet, i'm going to coach out that Wolfram Alpha can a minimum of compute the minimum polynomial in question: x^6 + 3x^5 + 10x^4 + 15x^3 + 10x^2 + 3x + a million. Naively plugging in undesirable expressions for the roots in might desire to coach that the ratio is a root, and there are deterministic algorithms for proving the irreducibility of polynomials over Q, yet this could be a undesirable and backwards attitude.
2016-12-14 08:18:02 · answer #2 · answered by Erika 3 · 0⤊ 0⤋
take 3x and 5z^2, for instance. You get 15xz^2, another monic polynomial. That is because all the terms combine into one and you don't have to do messy FOIL or distribution.
2006-07-14 17:22:51 · answer #3 · answered by angyansheng65537 2 · 0⤊ 0⤋
Of course, another monic polynomial.
^_^
2006-07-14 21:23:23 · answer #4 · answered by kevin! 5 · 0⤊ 0⤋
take the derivative of the product and set equal to zero....that oughta sort things out for you.
2006-07-14 13:52:35 · answer #5 · answered by Anonymous · 0⤊ 0⤋