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Mathematics
Mathematics
Problem
2. Find
p
(
0
)
,
p
(
1
)
p(0), p(1)
p
(
0
)
,
p
(
1
)
and
p
(
2
)
p(2)
p
(
2
)
for each of the following polynomials: (i)
p
(
y
)
=
y
2
−
y
+
1
p(y)=y^{2}-y+1
p
(
y
)
=
y
2
−
y
+
1
(ii)
p
(
t
)
=
2
+
t
+
2
t
2
−
t
3
p(t)=2+t+2 t^{2}-t^{3}
p
(
t
)
=
2
+
t
+
2
t
2
−
t
3
(iii)
p
(
x
)
=
x
3
p(x)=x^{3}
p
(
x
)
=
x
3
(iv)
p
(
x
)
=
(
x
−
1
)
(
x
+
1
)
p(x)=(x-1)(x+1)
p
(
x
)
=
(
x
−
1
)
(
x
+
1
)
(i)
p
(
y
)
=
y
2
−
y
+
1
p(y)=y^{2}-y+1
p
(
y
)
=
y
2
−
y
+
1
(ii)
p
(
t
)
=
2
+
t
+
2
t
2
−
t
3
p(t)=2+t+2 t^{2}-t^{3}
p
(
t
)
=
2
+
t
+
2
t
2
−
t
3
(iii)
p
(
x
)
=
x
3
p(x)=x^{3}
p
(
x
)
=
x
3
(iv)
p
(
x
)
=
(
x
−
1
)
(
x
+
1
)
p(x)=(x-1)(x+1)
p
(
x
)
=
(
x
−
1
)
(
x
+
1
)
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