Answer:
f(x) = (x-4)(x+2)
Step-by-step explanation:
f(x) = x^2 – 2x – 8
What 2 numbers multiply to -8 and add to -2
-4*2 = -8
-4+2 = -2
f(x) = (x-4)(x+2)
[tex]\longrightarrow{\green{ D. \:f(x)\:=\:(x - 4)(x + 2) }}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] \: f(x) = {x}^{2} - 2x - 8[/tex]
[tex] \:f(x) = {x}^{2} - 4x + 2x - 8[/tex]
Taking [tex]x[/tex] as common from first two terms and 2 from last two terms, we have
[tex] \:f(x) = x \: (x - 4) + 2 \: (x - 4)[/tex]
Taking the factor [tex](x-4)[/tex] as common,
[tex] \:f(x) = (x - 4)(x + 2)[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
