How do you find all zeros of #f(x)=5x^4+15x^2+10#?
We will use the difference of squares identity, which can be written:
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To find all zeros of the function (f(x) = 5x^4 + 15x^2 + 10), you can follow these steps:
 Set (f(x)) equal to zero:
[5x^4 + 15x^2 + 10 = 0]

Factor out the common factor, if possible. In this case, there is no common factor among the terms.

Make a substitution to simplify the equation. Let (y = x^2), then the equation becomes:
[5y^2 + 15y + 10 = 0]

Solve the quadratic equation (5y^2 + 15y + 10 = 0) using the quadratic formula or factoring.

Once you find the solutions for (y), substitute them back into (y = x^2) to find the corresponding values of (x).

These values of (x) are the zeros of the function (f(x)).
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When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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