Open navigation menu
Mathematics
Multiply polynomials with an area model
Loading resource…
Loading resource…
One product in each cell
Symbolic grid · cell size does not represent magnitude
(x + 2) × (x + 3)
Before collecting
x² + 3x + 2x + 6
After collecting
A cell equals its row term × its column term. Select a result term to see all contributing cells.
Model notes
- This is a symbolic area model, not a rectangle drawn to scale. Negative coefficients do not mean negative physical areas.
- To multiply terms, multiply their coefficients, add their powers, then collect like powers. Zero is represented as a constant.
- Each factor has 1–3 terms with integer coefficients −9…9 and powers 0…2. Start with (x + 2)(x + 3) and change one term at a time.