Question

decide using the factor theorem whether (x-2)is a factor of x^3-4x^2-4

Answer 1

hope it helps you.............

Answer 2

hey mate here is your answer

$given \: \: x - 2$
we have to find it is factor or not then

$x = 2$
now

$p(x) = {x}^{3} - {4}^{2} - 4$
putting x in equation

$p(2) = {2}^{3} - 4 \times {2}^{2} - 4$
now
$p(2) = 8 - 16 - 4 \\ \: \: \: \: \: \: \: \: \: \: \: = - 8 - 4 \\ \: \: \: \: \: \: \: \: \: \: \: \: = - 12 \\ \\ so \: by \: this \: it \: is \: not \: its \: factor \:$

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