Question

$x ^{2} + x + 1 \div 4$
Factorise ​

Answer 1

Answer:

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Enter a problem...

Algebra Examples

Popular Problems Algebra Factor x^2+x+1/4

x

2

+

x

+

1

4

Rewrite

1

as

1

2

.

x

2

+

x

+

1

2

4

Rewrite

4

as

2

2

.

x

2

+

x

+

1

2

2

2

Rewrite

1

2

2

2

as

(

1

2

)

2

.

x

2

+

x

+

(

1

2

)

2

Check the middle term by multiplying

2

a

b

and compare this result with the middle term in the original expression.

2

a

b

=

2

⋅

x

⋅

1

2

Simplify.

2

a

b

=

x

Factor using the perfect square trinomial rule

a

2

+

2

a

b

+

b

2

=

(

a

+

b

)

2

, where

a

=

x

and

b

=

1

2

.

(

x

+

1

2

)

2

Answer 2

Answer:

x²+x +1/4

x²+ x/2 +x/2 +1/4

x(x+1/2) +1/2(x+1/2)

(x+1/2) ²