degree of polynomial(p^2+2)(p^2+7)
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Explanation:
First find a quadratic
f
(
x
)
such that:
⎧
⎪
⎨
⎪
⎩
f
(
0
)
=
2
f
'
(
0
)
=
4
f
'
'
(
0
)
=
4
Suppose:
f
(
x
)
=
a
x
2
+
b
x
+
c
Then:
2
=
f
(
0
)
=
a
(
0
)
2
+
b
(
0
)
+
c
=
0
+
0
+
c
=
c
4
=
f
'
(
0
)
=
2
a
(
0
)
+
b
4
=
f
'
'
(
0
)
=
2
a
So:
f
(
x
)
=
2
x
2
+
4
x
+
2
Define:
P
(
x
)
=
f
(
x
−
2
)
=
2
(
x
−
2
)
2
+
4
(
x
−
2
)
+
2
=
2
x
2
−
4
x
+
2
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hope it helps
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