Question

Find the missing factor 5y^2-4y-9=(y+1)( )

Answer 1

The missing factor is 5y-9

5y^2-4y-9=(y+1)(5y-9)

Explanation:

We are given this expression:

`5y^(2)-4y-9`

Now let us factorise it using AC method of factorisation.

First taking product of 5 and -9

5*(-9)=-45

NOw we have to find two factors of -45 that add up to give -4

Two such factors are -9 and 5

So replacing -4y by -9y+5y,

`5y^(2)-9y+5y-9`

Factoring by grouping,

`y(5y-9)+1(5y-9)`

`(y+1)(5y-9)`

So the missing factor will be 5y-9