Question

Factorise:
7m^2+67m+36

Answer 1

You know the first terms of the factors must be 7 & 1, since those are the only factors of 7.

So you write:
`(7m+x)(m+y)`

Both the second and third term are positive, so x & y are both positive.

From there, all you can really do is plug in all factors of 36 as x or y until you find that the second term adds up to 67.

And you find the only one that works is:


`(7m+4)(m+9)`