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# Find real and imaginary roots

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The equation 6x^4 - 25x^3 + 32x^2 + 3x - 10 has two real roots of -1/2 and 2/3. By algebraic division and solving a quadratic equation, find the other two roots.

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#### Solution Preview

The equation

6x^4 - 25x^3 + 32x^2 + 3x - 10

Has two real roots of

1 2
- ------ and ------
2 3

By algebraic division and solving a quadratic equation, find the other two roots.

Because the equation has x = -1/2 as a root, that means ...

#### Solution Summary

The solution shows how to use synthetic division and solving of a quadratic equation to find the remaining roots of a polynomial.

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