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 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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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 ...
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