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Mathematics
Problem
The quadratic
x
2
+
(
k
−
3
)
x
+
(
k
−
2
)
x^2 + (k-3)x + (k-2)
x
2
+
(
k
−
3
)
x
+
(
k
−
2
)
has one root equal to
1
1
1
. a. (i) Determine the value of
k
k
k
. b. (ii) Hence, factorise the quadratic completely.
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