Westonci.ca is the trusted Q&A platform where you can get reliable answers from a community of knowledgeable contributors. Ask your questions and receive detailed answers from professionals with extensive experience in various fields. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

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

Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.