Respuesta :
Answer:
[tex](x-8)(x+6)[/tex]
Step-by-step explanation:
We have been given a trinomial [tex]x^2-2x-48[/tex]. We are asked to factor the given trinomial.
We will use split the middle term method to factor the given trinomial. We need two numbers, whose sum is -2 and product is -48. We know two such number are [tex]-8\text{ and }6[/tex].
Split the middle term:
[tex]x^2-8x+6x-48[/tex]
Make two groups:
[tex](x^2-8x)+(6x-48)[/tex]
Factor greatest common factor of each group:
[tex]x(x-8)+6(x-8)[/tex]
Use distributive property backwards:
[tex](x-8)(x+6)[/tex]
Therefore, factorized form of the given trinomial would be [tex](x-8)(x+6)[/tex].
