Question

How do you factor `3x^2 + 27x + 60`?

Answer 1

`3(x+4)(x+5)`

Explanation:

`"take out a "color(blue)"common factor ""of 3 "`

`rArr3(x^2+9x+20)`

`"to factorise the quadratic in the bracket"`

`"the factors of + 20 which sum to + 9 are + 4 and + 5"`

`rArr3x^2+27x+60=3(x+4)(x+5)`