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Find the number of complex roots and the number of possible real roots for the equation: 2x^4-3x^3+x^2-7x+3=0

Sagot :

You have the following polynomial:

2x⁴ - 3x³ + x² + 7x + 3 = 0

Based on the grade of the previous polynomial, you can conclude that there are 4 roots.

The complex roots are always present in pairs. Then, it's possible the given polynomial has 4 complex roots. In case there are 2 real roots, then, there are two comlpex roots.

Otherwise, there are 4 real roots.

Then, you can conclude for the possible roots of the polynomial:

- 4 real roots

- 4 complex roots

- 2 real roots and 2 complex roots

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