So..say a polynomial has a root at r, then (x-r) is a factor of the polynomial, kay! How can you use this fact to derive a rule about the maximum number of roots a polynomial has?
2006-09-14 17:59:33 · 6 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
no of roots real and imaginary put together will be equal to the degree of the polynomial
2006-09-14 18:39:59 · answer #1 · answered by raj 7 · 0⤊ 0⤋
The number of the factors x-r gives the highest degree of a polynomial.
2006-09-14 18:44:30 · answer #2 · answered by iyiogrenci 6 · 0⤊ 0⤋
Simple. If the polynomial has degree n, the only way that you'll get an x^n term is if you have n factors of the form
(x-a)*(x-b)*(x-c).......(x-n) which means that, from the Binomial Therom, the highest degree of x will be x^n
Doug
2006-09-14 18:03:18 · answer #3 · answered by doug_donaghue 7 · 0⤊ 0⤋
The number of roots are a function of the degree of the polynomial.
so a polynomial a_1x^n + a_2x^(n-1)+.....
will have n roots of the form (x-r)
Hope this helps.
2006-09-14 18:16:04 · answer #4 · answered by alrivera_1 4 · 0⤊ 0⤋
uncomplicated. If the polynomial has degree n, the only way which you will get an x^n term is that in case you have n factors of the type (x-a)*(x-b)*(x-c).......(x-n) this skill that, from the Binomial Therom, the optimum degree of x may be x^n Doug
2016-10-15 00:35:36 · answer #5 · answered by Anonymous · 0⤊ 0⤋
How did (X-R) become a factor?
2006-09-14 18:02:22 · answer #6 · answered by Anonymous · 0⤊ 1⤋