factorie the trinomial x² - 5x + 4
Answers
Answered by
1
Answer:
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Step-by-step explanation:
Find a pair of factors of
4
with sum
5
.
The pair
4
,
1
works.
Hence:
x
2
+
5
x
+
4
=
(
x
+
4
)
(
x
+
1
)
In general note that:
(
x
+
a
)
(
x
+
b
)
=
x
2
+
(
a
+
b
)
x
+
a
b
So if you are given a polynomial to factor in the form:
x
2
+
p
x
+
q
then you can try finding a pair of factors of
q
with sum
p
.
If you can find
a
,
b
such that
a
+
b
=
p
and
a
b
=
q
, then:
x
2
+
p
x
+
q
=
(
x
+
a
)
(
x
+
b
)
Answered by
0
Answer:
(x-1)(x-4)
Step-by-step explanation:
x²-5x+4
=x²-4x-x+4
=(x²-4x)(-x+4)
=x(x-4)-1(x-4)
=(x-1)(x-4)
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