Question

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

Question 14 options:

A)

f(x) =(x – 4)(x – 2)

B)

f(x) =(x + 4)(x + 2)

C)

f(x) =(x + 4)(x – 2)

D)

f(x) =(x – 4)(x + 2)

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

f(x) = (x-4)(x+2)

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)