Question

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

Answer 1

Answer:

$6((x+2)(x+3))$    

Step-by-step 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 $6((x+2)(x+3))$.

Answer 2

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