Question

Find all the zeros of the following function.

f (x) = x² + 3x² - 4
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Answer 1

To find the zeros of the given function, x² + 3x² - 4, we need to solve the equation and find the values of x that make the function equal to zero. The zeros are x = -1 and x = 1.

Step-by-step explanation:

To find the zeros of the function f(x) = x² + 3x² - 4, we need to solve the equation f(x) = 0. The equation becomes:

0 = x² + 3x² - 4

Combining like terms, we have:

0 = 4x² - 4

We can factor out a common factor of 4, giving:

0 = 4(x² - 1)

Next, we set each factor equal to zero:

x² - 1 = 0

(x + 1)(x - 1) = 0

Now, we can solve for x:

x + 1 = 0, x - 1 = 0

x = -1, x = 1

Therefore, the zeros of the function f(x) = x² + 3x² - 4 are x = -1 and x = 1.

Learn more about Finding zeros of a quadratic function