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Byju's Answer
Standard IX
Mathematics
Synthetic Division of Polynomials
Is x + 5 a ...
Question
Is
(
x
+
5
)
a factor of
x
3
+
2
x
2
−
14
x
+
9
?
Open in App
Solution
Is
(
x
+
5
)
a factor of
x
3
+
2
x
2
−
14
x
+
9
(
x
+
a
)
is a factor of
p
(
x
)
if
p
(
−
a
)
=
0
Put
a
=
5
p
(
x
)
=
x
3
+
2
x
2
−
14
x
+
9
p
(
−
5
)
=
(
−
5
)
3
+
2
(
−
5
)
2
−
14
(
−
5
)
+
9
=
−
125
+
50
+
70
+
9
=
−
125
+
129
⇒
4
P
(
−
5
)
=
4
≠
0
∴
(
x
+
5
)
is not a factor of
x
3
+
2
x
2
−
14
x
+
9
.
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Examine whether
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2
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+
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Q.
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Which of the following is not a factor of
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