What are the zeros of the function?
f(x)=x(x-2)(x+6)
-6
-2
0
2
6

x=0, x=2, x=-6

Step-by-step explanation:

f(x)=x(x-2)(x+6) is zero if x=0,

or (x-2)=0 or (x+6)=0, then

x=0, x=2, x=-6

2,-6, 0

Step-by-step explanation:

Since you are multypling 3 terms, if you want 0 as your answer, one of the terms has to equal 0.

To get x-2 to equal 0, x has to equal 2

To get x+6 to equal 0, x has to equal -6

And also, the first x could equal 0

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation: