cori76
contestada

Which of the following binomials below is a factor of this trinomial? X^2+6x+8
A. X-8
B. X+4
C. X^2+8
D. X+8

Respuesta :

breadraga
To get the answer, you'd factor the equation.
[tex] {x}^{2} + 6x + 8[/tex]
List factors that multiply for 8.
1 x 8
2 x 4

Out of these, which can add to 6?
2 x 4

[tex] {x}^{2} = x \times x[/tex]
So,
[tex]x \times x = {x}^{2} [/tex]
and
[tex]4 \times 2 = 8[/tex]
and adds for 6,

simply put it together.

Then, you get:

[tex](x + 4)(x + 2)[/tex]
Your answer would be (x+4).

Hope this helps!

:)

From the given option, the binomial (x + 4) is a factor of trinomial [tex]x^{2} +6x+8[/tex].

What is a factor?

A number or algebraic expression that divides another number without leaving remainder is called a factor.

What is factorization of a polynomial?

Expressing the quadratic equation [tex]ax^{2} +bx +c =0[/tex] as a product of its linear factors as (x - k)(x - h), where h, k are the roots of the quadratic equation ax2 + bx + c = 0 is called a factorization of a polynomial.

According to the given question

We have a trinomial [tex]x^{2} + 6x + 8[/tex]

Factorize the above trinomial

[tex]x^{2} +6x + 8 = x^{2} + 4x + 2x +8[/tex]

⇒[tex]x^{2} +6x+8 = x(x + 4) + 2(x +4)[/tex]

⇒[tex]x^{2} + 6x + 8 = (x+2)(x+4)[/tex]

Therefore, the factors of the trinomial [tex]x^{2} +6x+8[/tex] are (x + 2) and ( x + 4).

Hence, from the given option, the binomial (x + 4) is a factor of trinomial [tex]x^{2} +6x+8[/tex].

Learn more about the factors of polynomial here:

https://brainly.com/question/26354419

#SPJ2

Otras preguntas

Q&A Education