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Mathematics
Mathematics
Problem
The polynomial
2
x
3
+
k
x
2
+
5
x
−
4
2x^3 + kx^2 + 5x - 4
2
x
3
+
k
x
2
+
5
x
−
4
is exactly divisible by
(
x
−
1
)
(x-1)
(
x
−
1
)
. a. (a) Find the value of
k
k
k
. b. (b) Hence factorise the polynomial completely.
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