Math, asked by ak3425502, 10 months ago

factorise z2 +z +1 by 4​

Answers

Answered by abbymax144
0

Answer:

explain

Step-by-step explanation:

Answered by Anonymous
3

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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