Using Zeros to Write Polynomial Functions Calculator
Expert Guide to Using Zeros to Write Polynomial Functions
Using zeros to write polynomial functions is a fundamental concept in algebra…
- Select the degree of the polynomial…
- Enter the zeros of the polynomial…
- Click ‘Calculate’…
The formula for a polynomial with real coefficients and real zeros is…
| Case Study | Polynomial | Zeros |
|---|---|---|
| 1 | x³ – 6x² + 11x – 6 | 1, 2, 3 |
| Polynomial | Zeros | Degree |
|---|---|---|
| x² – 5x + 6 | 2, 3 | 2 |
- Always ensure the degree of the polynomial matches the number of zeros…
- For complex zeros, use the conjugate pair…
What if I have repeated zeros?
If you have repeated zeros, you’ll need to adjust the formula…
Can I use this for complex polynomials?
Yes, but you’ll need to enter complex zeros as conjugate pairs…
For more information, see Maths is Fun and Khan Academy.