Question

8) Factorise x2+x-30
²​

Answer 1

Answer:

Step-by-step explanation:

x²+x-30

=x²+6x-5x-30

=x(x+6)-5(x+6)

=(x+6)(x-5)

x=5 or x=6

Answer 2

Step-by-step explanation:

We had to use middle term splitting method to factorise it :

In this , we have to find two number such that there sum is middle term and product is product of first and last term .

In this question , suitable numbers are (-5x) and 6x

Now , factorising :

x² + x - 30

=x²+6x - 5x -30

Taking common 'x' in first two terms and '5' in last two terms .

=x(x+6)-5(x+6)

Taking common (x+6) in whole .

=(x + 6)(x - 5)

Therefore, your answer comes (x + 6)(x - 5).

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