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You can factor out the common factor, x squared. That gives a double-zero at x = 0. What remains of the function can be factored like any polynomial of degree 2 - for example, you can use the quadratic formula.

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If f(x) = x^4 - 3x^3 - 4x^2then the zeros are x= -1, x= 0 (double root) and x = 3.

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Q: What are the zeros of the function f(x)x4-3x3-4x2?
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Continue Learning about Algebra

What are the zeros of a polynomial function?

the zeros of a function is/are the values of the variables in the function that makes/make the function zero. for example: In f(x) = x2 -7x + 10, the zeros of the function are 2 and 5 because these will make the function zero.


How can you use a graph to find zeros of a quadratic function?

The zeros of a quadratic function, if they exist, are the values of the variable at which the graph crosses the horizontal axis.


What happens if there are no zeros in a quadratic function?

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How you can use the zeros of the numerator and the zeros of the denominator of a rational function to determine whether the graph lies below or above the x-axis in a specific interval?

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What does the degree of a function tell about the graph inculding zeros?

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