To find the zeros of the function y = 10x^3 - 10x, we need to set the function equal to zero and solve for x:
10x^3 - 10x = 0
Factoring out a common factor of 10x:
10x(x^2 - 1) = 0
Setting each factor equal to zero:
10x = 0 or x^2 - 1 = 0
From the first equation, we find that x = 0.
For the second equation, we can factor it as the difference of squares:
(x - 1)(x + 1) = 0
Setting each factor equal to zero:
x - 1 = 0 or x + 1 = 0
From these equations, we find that x = 1 and x = -1.
Therefore, the zeros of the function y = 10x^3 - 10x are x = 0, x = 1, and x = -1.
The multiplicity of each zero in this case is 1.
Find the zeros of the function. State the multiplicity of multiple zeros.
y=10x^3-10x
1 answer