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Find the value of c

0 votes

If p(x) =2x3+cx2-5x-6 and x-2 is a factor of p(x)

 

asked Sep 29, 2018 in ALGEBRA 1 by anonymous

1 Answer

0 votes

The function

p(x)  =  2x+ cx- 5x - 6

if x - 2 is a factor of p(x) then p(2) = 0.

Substitute x = 2 in p(x)

p(2)  =  2(2)+ c(2)- 5(2) - 6

0  =  2(8) + c(4) - 10 - 6                             [ Since p(2) = 0]

 =  16 + 4c - 16

0  =  4c

c  = 0

Answer :

The value c  = 0

answered Sep 29, 2018 by homeworkhelp Mentor

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