Decide using factor theorem whether (x-2) is a factor of x³-4x²-4
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Answered by
14
x = 2
(2)^3 - 4(2)^2 -4
8 - 16 - 4
8-20
-12
(2)^3 - 4(2)^2 -4
8 - 16 - 4
8-20
-12
Answered by
5
let
p(x)=x³-4x²-4,
(x-2) will be a factor of p(x) if
p(2)=0,
then
p(2)=2³-4(2)²-4,
p(2)=8-4×4-4,
p(2)=8-16-4,
p(2)=-12,
since
p(2) not equal to zero then (x-2) is not a factor of p(x)
p(x)=x³-4x²-4,
(x-2) will be a factor of p(x) if
p(2)=0,
then
p(2)=2³-4(2)²-4,
p(2)=8-4×4-4,
p(2)=8-16-4,
p(2)=-12,
since
p(2) not equal to zero then (x-2) is not a factor of p(x)
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