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Mathematics
Problem
A quadratic polynomial
t
(
x
)
=
x
2
−
6
x
+
8
t(x)=x^{2}-6x+8
t
(
x
)
=
x
2
−
6
x
+
8
describes a certain relation in a school science project. Answer the following: a. (i) Solve the equation
t
(
x
)
=
0
t(x)=0
t
(
x
)
=
0
and list its roots. b. (ii) Calculate the value of
t
(
3.5
)
t(3.5)
t
(
3.5
)
. c. (iii) Find the sum
t
(
1
)
+
t
(
5
)
t(1)+t(5)
t
(
1
)
+
t
(
5
)
.
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