Math
Quadratic equation
Find the real roots of ax² + bx + c = 0.
Calculators / Math / Product of two linear binomials
Product of two linear binomials calculator
Expand two expressions of the form ax + b and cx + d into quadratic coefficients.
On this page
Quadratic coefficient8
Linear coefficient22
Constant coefficient15
Calculator controls
How to calculate
Expand two expressions of the form ax + b and cx + d into quadratic coefficients.
Quadratic coefficient =
a*cLinear coefficient =
a*d+b*cConstant coefficient =
b*dWorked example
- First x coefficient: 2
- First constant: 3
- Second x coefficient: 4
- Second constant: 5
- Quadratic coefficient: 8
- Linear coefficient: 22
- Constant coefficient: 15
Assumptions and limits
Read the output as A x² + B x + C, including zero and negative coefficients. Inputs are real numbers; no symbolic parsing or factorization is performed.
Results are rounded for display; calculations use unrounded values. Read our calculation methodology.
Understanding the result
Expand two expressions of the form ax + b and cx + d into quadratic coefficients. The middle coefficient combines both cross-products. Keep its sign when writing the expanded polynomial.
When this tool is useful
The middle coefficient combines both cross-products. Keep its sign when writing the expanded polynomial.
Understanding your inputs
| Input | Example |
|---|---|
First x coefficient a | 2 |
First constant b | 3 |
Second x coefficient c | 4 |
Second constant d | 5 |
Frequently asked questions
Which assumptions matter for this result?
Read the output as A x² + B x + C, including zero and negative coefficients. Inputs are real numbers; no symbolic parsing or factorization is performed.
How can I check the worked example?
Use the displayed example inputs in the stated formula. Keep each quantity in its labelled unit and compare the unrounded result before applying display rounding.