Factor x^2 + 7x + 10
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The specific expression or equation this page is built around.
x^2 + 7x + 10
This is a standard quadratic factorisation pattern.
You need two numbers that multiply to 10 and add to 7.
One structured route through this exact problem.
- 1List the factor pairs of 10.
- 2The pair 5 and 2 multiplies to 10 and adds to 7.
- 3So the factorisation is (x + 5)(x + 2).
- 4Expand the brackets again to confirm the middle term returns to 7x.
Use these quick checks before relying on the route.
- Multiply the outer and inner terms to verify the middle term.
- Expand the full brackets to make sure you return to x^2 + 7x + 10.
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