A quadratic polynomial with roots x = -1 and x = 2, and leading coefficient 3, has its factored form as _________.
Answer & Analysis
Analysis
Question Analysis
This question involves constructing the factored form of a quadratic polynomial using its roots and leading coefficient. The focus is on applying the basic factor theorem for quadratics with a non-1 leading coefficient.
Key Concept Explanation
For a quadratic with roots and , the factored form is , where a is the leading coefficient. Each root r corresponds to the factor .