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Mathematics
Mathematics
Problem
The cubic polynomial
p
(
x
)
=
x
3
+
k
x
2
−
13
x
+
6
p(x)=x^{3}+kx^{2}-13x+6
p
(
x
)
=
x
3
+
k
x
2
−
13
x
+
6
has
(
x
−
2
)
(x-2)
(
x
−
2
)
as a factor. a. (i) Find the value of
k
k
k
. b. (ii) For this value of
k
k
k
, factorise
p
(
x
)
p(x)
p
(
x
)
completely into linear factors. c. (iii) Hence list all the zeros of
p
(
x
)
p(x)
p
(
x
)
.
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