Question 58436
f(x) = 2x^4 - 17x^3 + 49x^2 - 23x - 91
(x + 1) is a factor:
-1|....2....-17....49....-23....-91
........2....-19....68.....-91....0
(x + 1)(2x^3 - 19x^2 + 68x - 91) = f(x)
(x - 7/2) is a factor:
7/2|....2....-19....68....-91
.........2.....-12....26.....0
(x + 1)(x - 7/2)(2x^2 - 12x + 26) = f(x)
(x + 1)(x - 7/2)2(x^2 - 6x + 13) = f(x)
{{{x = (-b +- sqrt( b^2 - 4*a*c ))/(2*a) }}}
{{{x = (6 +- sqrt( 36 - 52 ))/(2) }}}
{{{x = (6 +- sqrt( -16 ))/(2) }}}
Don't Exist
{{{graph(300,300,-10,10,-10,10,2x^4 - 17x^3 + 49x^2 - 23x - 91)}}}