FP1.2.1 - Sum of roots and product of roots
- Syllabus
- 2019
- Objective
- —
- Level
- AS
Sum of roots and product of roots For the equation ax2 + bx + c = 0, whose roots are α and β, of a quadratic equation. b c then α + β = −, αβ =. a a.
Use fp1.2.1 - sum of roots and product of roots to connect the rule to the data and decision in the question.
This matters because fp1.2.1 - sum of roots and product of roots determines what can be inferred or chosen; begin with the stated conditions and keep the conclusion tied to the evidence.
Example: apply fp1.2.1 - sum of roots and product of roots to one small, clearly defined case, show the key step or comparison, and explain the result in words.
Boundary: FP1.2.1 - Sum of roots and product of roots is not a universal recommendation. Check the syllabus scope, assumptions, units and the limits of the evidence before generalising.