AlgebraStudy Notes
Worked Example: Quadratic - Negative Constant
Part of Factorising — GCSE Mathematics
This study notes covers Worked Example: Quadratic - Negative Constant within Factorising for GCSE Mathematics. Revise Factorising in Algebra for GCSE Mathematics with 12 exam-style questions and 3 flashcards. This topic appears regularly enough that it should still be part of a steady revision cycle. It is section 11 of 12 in this topic. Use this study notes to connect the idea to the wider topic before moving on to questions and flashcards.
Topic position
Section 11 of 12
Practice
12 questions
Recall
3 flashcards
Worked Example: Quadratic - Negative Constant
Factorise: x² + 2x - 15
Step 1 Set up the problem
Need: multiply to -15, add to +2
Negative product means ONE negative, ONE positive
Step 2 Find the right pair
-3 × 5 = -15, -3 + 5 = +2 ✓
Final Write the brackets
x² + 2x - 15 = (x - 3)(x + 5)