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Edexcel 9MA0
Papers 1 and 2 · Pure
2.6 Algebra and functions
Question 1 · 6 marks
Calculator allowed
Spec and skills
Paper scope: Pure 1/2
Spec P2.6
Original practice question
g
(
x
)
=
x
3
+
a
x
2
+
b
x
−
6
g(x) = x^3 + a x^2 + b x - 6
g
(
x
)
=
x
3
+
a
x
2
+
b
x
−
6
,
where
a
a
a
and
b
b
b
are constants.
(
x
−
1
)
(x - 1)
(
x
−
1
)
and
(
x
+
2
)
(x + 2)
(
x
+
2
)
are both factors of
g
(
x
)
g(x)
g
(
x
)
.
(a)
Find the values of
a
a
a
and
b
b
b
.
4 marks
(
,
)
xⁿ
a/b
√
π
(
)