Leading coefficient not 1?

This version is monic (a=1). Non-monic support can come later.

You will see an explicit message; roots may still exist as irrationals.

Factor trinomial calculator

Factor x² + bx + c (monic) into (x + p)(x + q) when integer factors exist.

b in x² + bx + cc in x² + bx + c

Formula: Find p,q with p+q=b and p·q=c

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After using Factor trinomial calculator, continue with 2×2 matrix determinant & inverse.

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4 steps

Tool guide

Practical information to understand the result and use this tool correctly.

Integer factoring of x²+bx+c looks for p and q with p+q=b and p·q=c.

If no integer pair exists, the tool says so clearly — use the quadratic formula for exact roots.

Pairs with the FOIL expander for expand ↔ factor drills.

Leading coefficient not 1?: This version is monic (a=1). Non-monic support can come later.
No integer factors?: You will see an explicit message; roots may still exist as irrationals.