Description
Return the binomial-square cross term.
Polynomial coefficients encode powers in a chosen order, with zeros, multiplicities and leading terms carrying different meanings. Local coefficient identities and necessary divisibility conditions can be checked without finding every root or proving a proposed factorization. Floating-point comparisons use the exact supplied values unless an explicit tolerance is provided.
Return the binomial-square cross term.
When to use this tool
Use Binomial Square Cross Term when checking the stated coefficient, root-identity, index or divisibility term.
How to use the tool and how it works
- Enter first, second. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read crossTerm. Use the output convention below.
Return the binomial-square cross term. crossTerm = 2*first*second.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| first | First | Required. Finite number. |
| second | Second | Required. Finite number. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| crossTerm | Cross Term | Required. Finite number. |
{
"input": {
"first": 3,
"second": -4
},
"output": {
"crossTerm": -24
}
}Limitations and assumptions
- This is one contribution to (first+second)², not the complete expansion or a symbolic expression parser.
- Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.
Alternative or Complementary methods
Use a complete symbolic or numerically appropriate polynomial method for root finding, full factorization and robust treatment of near-degenerate coefficients.
References
Similar or alternative tools
- Quadratic Completing Square Offset
Return completing-square shift and vertical offset.
- Polynomial Double Root Coefficient Constraint
Check exact quadratic double-root discriminant.