Find all the zeros of the function. (Enter your answers as a comma-separated list.)
f(x) = (x + 3)(x − 7)2
X=
is the (x-7) squared?
yes
Okay well the problem is set to make it easy for you. Since it is broken up into factors all you have to do is set each one equal to 0.
x+3=0
(x-7)^2=0
Solve for x.
i got the answer -3,7
thank you mia
(x-7)^2 shouldnt be x=7 because you have the squared
I know it was a mistake
okay so what did you get for our answers?
-3,7
To find the zeros of a function, we need to find the values of x where the function equals zero. In this case, the function f(x) is given as (x + 3)(x - 7)^2.
To find the zeros, we set the function equal to zero and solve for x:
(x + 3)(x - 7)^2 = 0
Now we can use the zero product property, which states that if a product of factors is equal to zero, then at least one of the factors must be zero.
Setting each factor equal to zero, we have:
x + 3 = 0 or x - 7 = 0
Solving for x in each equation:
For x + 3 = 0:
x = -3
For x - 7 = 0:
x = 7
So the zeros of the function f(x) are x = -3 and x = 7.
Therefore, X = -3, 7.