A third-degree polynomial equation has roots , , and . If the coefficient of the highest degree term is 2, write the polynomial equation in standard form: __________.
Answer & Analysis
Analysis
Question Analysis
This question assesses the ability to write a third-degree polynomial equation from its roots and a given leading coefficient, which is a key skill in polynomial construction.
Key Concept Explanation
Given the roots and the leading coefficient, the polynomial can be written as the product of the factors multiplied by the leading coefficient. Expanding this product gives the polynomial in standard form.
Step-by-step Solution
1. Identify the roots: , , and .
2. Write the factors: , , and .
3. Multiply the factors by the leading coefficient:
Want More Practice Questions?
Access thousands of practice questions with detailed explanations on Scholardog.