Question

Which of the following represents the factorization of the trinomial below?
x^2 + 13x - 30

Answer 1

Answer:b

Step-by-step explanation:

Answer 2

The factors of the trinomial is option (D) (x+15)(x-2) is the correct answer.

What is factorization?

Factorization is the breaking or decomposition of an entity (a number, a matrix, or a polynomial) into a product of another entity, or factors, which when multiplied together give the original number. Factorize an expression involves take out the greatest common factor (GCF) of all the terms.

For the given situation,

The trinomial is x^2 + 13x - 30.

The trinomial can be factored as

⇒ $x^2 + 13x - 30=0$

⇒ $x^2 + 15x-2x - 30=0$

⇒ $x(x+15)-2(x+15)=0$

⇒ $(x+15)(x-2)=0$

Hence we can conclude that the factors of the trinomial is option (D) (x+15)(x-2) is the correct answer.

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