If x2 - 4x - 12 = (x + m)(x + n).
then find the value of (m+n).
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Step-by-step explanation:
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Answered by
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Answer:
HELLO FRIEND YOUR ANSWER IS -4
PLEASE FOLLOW THE STEPS GIVEN BELOW
Step-by-step explanation:
Given:
x
2
−
4
x
−
12
=
(
x
+
m
)
(
x
+
n
)
.
.
.
(
i
)
Now, comparing the expression
x
2
−
4
x
−
12
with the identity
x
2
+
(
a
+
b
)
x
+
a
b
,
we note that,
(
a
+
b
)
=
−
4
a
n
d
a
b
=
−
12
So,
(
−
6
)
+
2
=
−
4
a
n
d
(
−
6
)
(
2
)
=
−
12
Hence,
x
2
−
4
x
−
12
=
x
2
−
6
x
+
2
x
−
12
=
x
(
x
−
6
)
+
2
(
x
−
6
)
=
(
x
−
6
)
(
x
+
2
)
Now, from (i)
x
2
−
4
x
−
12
=
(
x
+
m
)
(
x
+
n
)
⇒
(
x
+
m
)
(
x
+
n
)
=
(
x
−
6
)
(
x
+
2
)
After comparing the above equation, we get
m
=
−
6
and
n
=
2
Therefore,
(
m
+
n
)
=
−
6
+
2
=
−
4
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