jossfajardo50
12.06.2020 •
History
How did whites respond to the result of the 1876 Battle of Little
Big Horn?
Which famous showman took advantage of the 1876 Battle of
Little Big Horn to sell tickets to his Wild West show?
William F. "Buffalo Bill" Cody
John M. Chivington
Sitting Bull
George Armstrong Custer
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Ответ:
Step-by-step explanation:
(a)
let, f(x) = 2x+1 & g(x) = 2x+2
So, f(x).g(x) = (2x+1).(2x+2) = 4x² + 6x + 2 = 2x+2 in
So, product of two 1 degree polynomials is a 1-degree polynomial in
(b)
let, f(x) = 2x³ - 3x² + 5x + 7 & g(x) = -2x³ + 3x² + x + 3 be two polynomials in R[x]
So, f(x) + g(x) = 6x + 10, which is a polynomial of degree 1 in R[x]
(c)
this is not possible, since, if f & g are 2 polynomials in any polynomial ring S, then, we always have,
deg(f.g) <= deg(f) + deg(g)
So, deg(f.g) = 5 (as desired) but, deg(f) + deg(g) = 2+2 = 4 but, 4 < 5
So, this is not possible.
So, no such example exists.