Question

if the polynomial f(x)= ax3+bx-c is divisible by the polynomial g(x)= x2+bx+c,then ab =

Answer 1

Since f(x) is divisible by g(x),the remainder will be 0
On dividing f(x) by g(x)
using long division method ,
we can get the remainder in terms of a and b
which is
(ab-ac+b)x+abc-c=0x+0
comparing than
abc-c=0
c(ab-1)=0
ab-1=0
ab=1
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Answer 2

I hope this will help you