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Mathematics
Mathematics
Problem
A polynomial
p
(
x
)
=
x
3
+
k
x
2
−
k
x
−
6
p(x)=x^{3}+kx^{2}-kx-6
p
(
x
)
=
x
3
+
k
x
2
−
k
x
−
6
is exactly divisible by
x
+
2
x+2
x
+
2
. (i) Find the value of
k
k
k
. (ii) Using the value of
k
k
k
obtained in part (i), completely factorise
p
(
x
)
p(x)
p
(
x
)
. (iii) Hence write all the zeros of
p
(
x
)
p(x)
p
(
x
)
.
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