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Mathematics
Mathematics
Problem
Consider the polynomial
t
(
x
)
=
3
x
3
−
7
x
2
−
22
x
+
8
t(x)=3x^{3}-7x^{2}-22x+8
t
(
x
)
=
3
x
3
−
7
x
2
−
22
x
+
8
. a. (i) Verify whether
(
3
x
−
1
)
(3x-1)
(
3
x
−
1
)
is a factor of
t
(
x
)
t(x)
t
(
x
)
. b. (ii) After confirming your result, factorise
t
(
x
)
t(x)
t
(
x
)
completely. c. (iii) Using the factorisation obtained, solve the equation
t
(
x
)
=
0
t(x)=0
t
(
x
)
=
0
.
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