factorise z2 +z +1 by 4
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Answer:
explain
Step-by-step explanation:
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Popular Problems Algebra Factor z^2+z+1/4
z2+z+14
Rewrite 1 as 12.z2+z+124
Rewrite 4 as 22.z2+z+1222
Rewrite 1222 as (12)2.z2+z+(12)2
Check the middle term by multiplying
2ab
and compare this result with the middle term in the original expression.
2ab=2⋅z⋅1
2
Simplify.
2
a
b
=
z
Factor using the perfect square trinomial rule
a
2
+
2
a
b
+
b
2
=
(
a
+
b
)
2
, where
a
=
z
and
b
=
1
2
.
(
z
+
1
2
)
2
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