Which of the following is a factor of x3  − 729?

Out of the given options, only x-9 is a factor of x³-729

For the expression x - a to be a factor of the function f(x), f(a) must be equal to zero

let

To confirm if x - 9 is a factor, substitute x = 9 into the function.

That is find the value of f(9)

Since f(9) = 0, then x - 9 is a factor of the function

Other options are not factors of x³-729 because they do not give a reminder of 0

Learn more here: link

The given options are:

x+3

x+9

x-9

x-3

(x - 9)(x² + 9x + 81)

Step-by-step explanation:

x³ - 729 ← is a difference of cubes and factors in general as

a³ - b³ = (a - b)(a² + ab + b²)

note 729 = 9³ ⇒ a = x and b = 9

x³ - 729 = (x - 9)(x² + 9x + 81) ← in factored form

answer: 457.14

step-by-step explanation:

205 - 45 = 160

160 / .35 = 457.142857

it has changed from the width and the height.

step-by-step explanation: