Which is the following is the set of real zeros of the function f(x) = (x3 + 1000)(x4 - 160,000)?
a. { -20, -10, 20}

b. { -20, -10, 10, 20}

c. { -10, 20}

d. { -20, 20}

A. { -20, -10, 20 }

Step-by-step explanation:

Given:

The function is given as:

Let us simplify the function.

First, we use the identity

Next, we use the identity

Now, the function can be rewritten as:

Now, the zeros are those values of for which

Now, for , we must have either of the factors 0.

The factors and can have no zeros as the first one has imaginary roots and second one is always greater than 0 irrespective of the values.

So, the possible set of zeros are { -20, 10, 20 }.

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step-by-step explanation:

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