Factor x^2 + 8x + 15
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The specific expression or equation this page is built around.
x^2 + 8x + 15
This factorisation is a common GCSE-style example.
The task is to find two numbers that multiply to 15 and add to 8.
One structured route through this exact problem.
- 1Write down factor pairs of 15.
- 2The pair 3 and 5 multiplies to 15 and adds to 8.
- 3So the factorisation is (x + 3)(x + 5).
- 4Expand the brackets to verify the expression.
Use these quick checks before relying on the route.
- Check the inner and outer products combine to +8x.
- Re-expand the brackets to confirm the original expression.
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