Respuesta :

Answer:

Yes

Step-by-step explanation:

Factoring is the process of breaking a polynomial into its factors.

Standard Form

It is easiest to factor when in standard form. Standard form is when the terms are listed from highest power to lowest.

  • Standard form is [tex]x^2-6x+8[/tex]

Factoring

To find if two expressions are equal we can either factor the quadratic or multiply out the binomials. I find factoring to be faster and easier, so I will show that.

There are multiple techniques to factor; I will be explaining one of them. One way to factor quadratics is to find 2 numbers that multiply to c (the constant) and sum to b (the second term). In this case, the numbers -4 and -2 fit these requirements.

  • -4 * -2 = 8
  • -4 + -2 = -6

This means that [tex]x^2-6x+8[/tex] factored is [tex](x-4)(x-2)[/tex]. Thus, they are equivalent.