To find out which binomial is a factor of the trinomial, we can use the factoring method. The trinomial is 6x^2 - 5x - 25.

We are looking for two numbers that multiply to (6*-25)=-150 and add to -5 (the coefficient of x).

Those numbers are -10 and 15 because -10*15=-150 and -10+15=-5.

So, we can rewrite the trinomial as 6x^2 -10x +15x - 25.

Now, we can factor by grouping:

2x(3x - 5) + 5(3x - 5)

So, the factors are (2x + 5) and (3x - 5).

Therefore, the binomial that is a factor of the trinomial is 2x + 5, which corresponds to option B.

Question

To find out which binomial is a factor of the trinomial, we can use the factoring method. The trinomial is 6x^2 - 5x - 25.

We are looking for two numbers that multiply to (6*-25)=-150 and add to -5 (the coefficient of x).

Those numbers are -10 and 15 because -10*15=-150 and -10+15=-5.

So, we can rewrite the trinomial as 6x^2 -10x +15x - 25.

Now, we can factor by grouping:

2x(3x - 5) + 5(3x - 5)

So, the factors are (2x + 5) and (3x - 5).

Therefore, the binomial that is a factor of the trinomial is 2x + 5, which corresponds to option B.

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