Which of the following show the factored equivalent of f(x) = (x2 - 81)(x + 5) and its zeroes. f(x) = (x - 6)(x + 6)(x + 5); x= 6, -6, -5 f(x) = (x - 9)(x + 9)(x + 5); x= 9, -9, -5 f(x) = (x - 9)(x + 9)(x + 5); x= -9, -9, -5 f(x) = (x - 6)(x + 6)(x + 5); x= -6, 6, -5

Option B

Step-by-step explanation:

We have to write the function f(x) in the factored form.

f(x) = ( x² - 81 ) ( x+5 )

Since [ a² - b² = ( a-b ) ( a+b) ]

so f(x) = ( x² - 9² ) ( x + 5 )

=  ( x - 9 ) ( x + 9 ) ( x + 5 )

If these factors are the zero factors then

( x - 9 ) = 0 ⇒ x = 9

( x + 9 ) = 0 ⇒ x = -9

x + 5 = 0 ⇒ x = -5

Option B will be the answer.

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!