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The zeros of the function

x = 0, 4, -2
a)
y = x(x-4)(x+2) are
b) x = 4,-2
c) x = -4,2
d) x = 0, 4, 2

User Angelys
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1 Answer

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Answer:

To find the zeros of a function, we need to find the values of x that make the function equal to zero.

The function y = x(x-4)(x+2) represents a cubic function.

To find the zeros of the function, we set the function equal to zero and solve for x:

x(x-4)(x+2) = 0

By using the zero product property, we know that if a product of factors equals zero, then at least one of the factors must be zero.

Setting each factor equal to zero:

x = 0, (x-4) = 0, (x+2) = 0

Solving these equations:

x = 0, x = 4, x = -2

Therefore, the zeros of the function y = x(x-4)(x+2) are x = 0, x = 4, and x = -2.

Among the options given, option d) x = 0, 4, 2 correctly represents the zeros of the function.

Therefore, the correct answer is d) x = 0, 4, 2.

Explanation:

User Nizamudeen Sherif
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