Question

Factorise x square+5x+4

Answer 1

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

)

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Answer 2

Answer:

(X+1) (X+4)

Step-by-step explanation:

the steps are in the attachment

hope this helps