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Find a polynomial of degree 3 with real coefficients and zeros calculator.

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1 Answer

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Final answer:

To find a polynomial of degree 3 with real coefficients and zeros, use the fact that if a polynomial has a zero at x = a, then it has a factor of (x - a). The polynomial will have three factors, corresponding to the three zeros.

Step-by-step explanation:

To find a polynomial of degree 3 with real coefficients and zeros, we can use the fact that if a polynomial has a zero at x = a, then it has a factor of (x - a). Therefore, the polynomial will have three factors, corresponding to the three zeros.

Let's say the zeros are a, b, and c. Then the polynomial can be written as (x - a)(x - b)(x - c).

For example, if the zeros are 1, 2, and 3, then the polynomial would be (x - 1)(x - 2)(x - 3).

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