Respuesta :
Answer:
(x + 4)(x + 2)
Step-by-step explanation:
Consider the factors of the constant term ( + 8) which sum to give the coefficient of the x- term ( + 6)
The factors are + 4 and + 2, since
+ 4 × + 2 = + 8 and + 4 + 2 = + 6, hence
x² + 6x + 8 = (x + 4)(x + 2) ← in factored form
The two binomials that are factors of this trinomial x^2+6x+8 would be (x + 4)(x + 2).
What is factorization?
Factorization is expressing a mathematical quantity in terms of multiples of smaller units of similar quantities.
For an integer, factorization is the decomposition of that integer in terms of smaller integers which when multiplied with each other give back that considered number.
Those composing integers are called factors of that considered integers.
Consider the factors of the constant term ( + 8) which sum to give the coefficient of the x- term ( + 6)
x² + 6x + 8
The factors are - 4 and + 2, since
+ 4 × + 2 = + 8 and + 4 + 2 = + 6,
hence , in the factored form
x² + 6x + 8 = (x + 4)(x + 2
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