Question

Write the quadratic function f(x) = x2 – 2x – 8 in factored form.

Answer 1

$\longrightarrow{\green{ D. \:f(x)\:=\:(x - 4)(x + 2) }}$ 

$\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}$

$\: f(x) = {x}^{2} - 2x - 8$

$\:f(x) = {x}^{2} - 4x + 2x - 8$

Taking $x$ as common from first two terms and 2 from last two terms, we have

$\:f(x) = x \: (x - 4) + 2 \: (x - 4)$

Taking the factor $(x-4)$ as common,

$\:f(x) = (x - 4)(x + 2)$

$\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}$

Answer 2

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)