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
2 answers:
The correct answer is: [B]: ________________________________________________________ <span> f(x) = (x - 9)(x + 9)(x + 5); x= 9, -9, -5 .________________________________________________________ </span>
Answer:
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.
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