Factor Rectangle
Factor quadratic expressions by building two linear factors. Compare coefficients of x², x and constants with real algebra practice.
Math puzzle
Loading algebra challenges…
Instructions, device progress and accessibility
Choose Easy, Normal or Hard. Select Practice or the daily puzzle (UTC). Complete every algebra field, then choose Check answer. Hints and Undo mark the round as assisted. Progress stays on this device; daily puzzles reset at 00:00 UTC.
Local progress is checked when play begins.
How to play Factor Rectangle
Factor quadratic expressions by building two linear factors. Compare coefficients of x², x and constants with real algebra practice. Choose a difficulty, work through each puzzle and enter exact values or select the correctly rearranged formula. The free Daily and Practice modes keep progress on your device.
Worked algebra example
Factor x² + 5x + 6: (x + 2)(x + 3), because 2 + 3 = 5 and 2 × 3 = 6.
Key formulas and common mistakes
For (ax + b)(cx + d), the coefficients must satisfy acx² + (ad + bc)x + bd. An equivalent factor order is accepted.
Frequently asked questions
Why does factoring help solve quadratics?
Once a polynomial is a product of factors, setting each factor equal to zero reveals its roots.
Can I swap the two factors?
Yes. Multiplication is commutative: (x + 2)(x + 3) equals (x + 3)(x + 2).