SOLUTION: # If x2-x+1=0 is a factor of ax3+bx2+cx+d=0 then a) d - a = b - 2c b) a - d = b + 2c c) a + d = b - 2c explain clearly.........

Algebra ->  Radicals -> SOLUTION: # If x2-x+1=0 is a factor of ax3+bx2+cx+d=0 then a) d - a = b - 2c b) a - d = b + 2c c) a + d = b - 2c explain clearly.........       Log On


   

Question 142476: # If x2-x+1=0 is a factor of ax3+bx2+cx+d=0 then
a) d - a = b - 2c
b) a - d = b + 2c
c) a + d = b - 2c
explain clearly.........
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
If x%5E2-x%2B1=0 is a factor of ax%5E3%2Bbx%5E2%2Bcx%2Bd=0 then
a) d+-+a+=+b+-+2c
b) a+-+d+=+b+%2B+2c
c) a+%2B+d+=+b+-+2c
x2-x%2B1=0………a=0,+b=1, c=-1, d=1
Then:
a) 1+-+0=+1+%962%28-1%29
1=1%2B2
1=3..........1 is not equal to 3


b) 0+-1+=+1+%2B+2%28-1%29
-1+=+1+%962
-1+=-1……………this is your answer

c) 0+%2B+1=+1+-2%28-1%29
1=1%2B2
1=3.............1 is not equal to 3