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Box Method Polynomial Multiplication — result sheet
Expand two linear binomials by multiplying the four box terms and collecting like powers.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: (ax+b)(cx+d) = acx² + (ad+bc)x + bd.
The four products are kept separate before the two x-terms are combined, mirroring a two-by-two multiplication box.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- First x coefficient — minimum -1000000; maximum 1000000
- First constant — minimum -1000000; maximum 1000000
- Second x coefficient — minimum -1000000; maximum 1000000
- Second constant — minimum -1000000; maximum 1000000
Worked example
| Input | Value |
|---|---|
| First x coefficient | 2 |
| First constant | 3 |
| Second x coefficient | 4 |
| Second constant | 5 |
(2x+3)(4x+5) = 8x² + 22x + 15.
Assumptions and limits
- All coefficients are finite real numbers within the displayed bounds.
- The input is a product of two linear polynomials in the same variable x.
- Factoring, graphing, and solving the expanded polynomial are outside this contract.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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