Question

Which of the binomials below is a factor of this trinomial ?
6x^2+30x+36

Answer 1

6x2-5x-25 = (3x+5)(2x-5) when factored

Answer 2

`6((x+2)(x+3))`

Explanation:

The given expression is:

`6x^2+30x+36`

On factorising this expression, we get

=
`6(x^2+5x+6)`

=
`6(x^2+2x+3x+6)`

=
`6(x(x+2)+3(x+2))`

=
`6((x+2)(x+3))`

therefore, on factorising the given expression
`6x^2+30x+36`, we get
`6((x+2)(x+3))`.

Thus, the binomial is
`6((x+2)(x+3))`.