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Find    the    value    of    c so    that     (x − 4)  is    a    factor    of    the    polynomial    f(x). cx^3-4x^2+2x+3

Guest Feb 14, 2017
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 #1
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Find    the    value    of    c so    that     (x − 4)  is    a    factor    of    the    polynomial    f(x). cx^3-4x^2+2x+3

 

If x - 4 is a factor, then 4 is a root...so

 

c(4)^3 - 4(4)^2 + 2(4) + 3  = 0

 

64c - 64 + 8 + 3  = 0

 

64c - 53   = 0

 

64c   = 53

 

c  = 53/64

 

Graph here :   https://www.desmos.com/calculator/6kydf74zct

 

 

 

cool cool cool

CPhill  Feb 14, 2017
 #2
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You the man

Guest Feb 14, 2017

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