Question

Which of the following is the reciprocal of x2 – 2x – 8?

A. (x + 2)(x – 4)

B. 1
(x + 2)(x – 4)

C. 1
(x – 8)

D. 1
(x + 2)

Answer 1

Given:
\[x^2 – 2x – 8 \rightarrow \frac{ x^2 – 2x – 8 }{ 1 }\]

Answer 2

1.) factor \(x^2 – 2x – 8 \)

Answer 3

HINT: what two numbers when multiplied give you (-8) but when added together give you (-2)?

Answer 4

@ExplainItLikeImFive

Answer 5

-4 and 2

Answer 6

Good

Answer 7

\[ x^2 – 2x – 8 = (x + 2)(x-4)\]

Answer 8

Given:
\[\frac{ x^2 – 2x – 8 }{ 1 }\]

Reciprocal:
\[\frac{ 1 }{ x^2 - 2x - 8 } \rightarrow \frac{ 1 }{ (x+2)(x-4) } \]

Answer 9

Do you understand @ExplainItLikeImFive ?

Answer 10

Yes, you did a fantastic job at explaining it. Thanks

Answer 11

Reciprocal is when you 'flip it'

Answer 12

Thank you :) & Your Welcome :)