1. Given that f(x)
express in terms of
is exactly divisible by
[2]
Show that, if in this case, the equation f(x)
.
2.
has only one real root, then
Given that
is a factor of
Find the value of .
[4]
(nov2003)
,
[2]
(june2004)
3. Given that
and
find the values of and .
are factors of the polynomial
4.
are factors of
Given that
the value of
and
and the value of
,
[3]
(nov2004)
[5]
Hence find the third factor.
5. Find the value of for which
factorise
completely.
, find
[2]
(june2005)
is a factor
. Hence
[5]
6. Find the value of for which
factorise
completely.
is a factor
7. Find the value of
is a factor of
for which
Show that for this value of
has only one real root.
. Hence
[5]
the cubic equation
+
[2]
+
[3]