In Exercises 1–30, factor each trinomial, or state that the trino...

Question

In Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication.x² + xy + y²

Accepted Answer

Are boring factory ization in the given expression are categorized as a prime trim Amiel. Also performer check using the foil method where we have R squared plus seven Rs plus two S squared. No, we notice here that we have a coefficient of one on our R squared. We can then rewrite this as a product of two factors R plus A S times are plus B S I want to solve for A and B. Well, we know the sum of A and B will be equal to the coefficient of our middle term or R seven To find our seven. We're gonna take a times B now is the coefficient on R squared which is one, B is coefficient RS squared, which is two. This gives us two. We're gonna find two factors of two that will add up to well, seven. Well, the facts of two, we know are negative one, negative two and one and two. Now you notice here if we would add these factors together, neither one or negative two, gives us negative three, one and two gives us three. There's no way we can add those factors together to equal seven. Because there's no two factors. We will then say that this is a prime try, no meal. Okay. I hope to help you solve the problem. Thanks for watching. Goodbye.

Struggling with College Algebra?

In Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication.x² + xy + y²

Watch next

Factoring Polynomials practice set