To find out which binomial is a factor of the trinomial, we need to factorize the trinomial.

The trinomial is 6x^2 + 30x + 36.

First, we can take out the common factor which is 6.

So, 6x^2 + 30x + 36 = 6(x^2 + 5x + 6)

Now, we need to factorize the quadratic equation x^2 + 5x + 6.

We are looking for two numbers that multiply to 6 and add to 5.

Those numbers are 2 and 3.

So, x^2 + 5x + 6 = (x + 2)(x + 3)

Therefore, the factors of the trinomial 6x^2 + 30x + 36 are 6, (x + 2) and (x + 3).

So, the binomial x + 2 is a factor of the trinomial.

Therefore, the answer is B. x + 2.

Question

To find out which binomial is a factor of the trinomial, we need to factorize the trinomial.

The trinomial is 6x^2 + 30x + 36.

First, we can take out the common factor which is 6.

So, 6x^2 + 30x + 36 = 6(x^2 + 5x + 6)

Now, we need to factorize the quadratic equation x^2 + 5x + 6.

We are looking for two numbers that multiply to 6 and add to 5.

Those numbers are 2 and 3.

So, x^2 + 5x + 6 = (x + 2)(x + 3)

Therefore, the factors of the trinomial 6x^2 + 30x + 36 are 6, (x + 2) and (x + 3).

So, the binomial x + 2 is a factor of the trinomial.

Therefore, the answer is B. x + 2.

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