Add and Subtract Polynomials

Coefficients in descending power order, including zeros; 1, 0, -4 means x²−4.
Coefficients in descending power order, including zeros; 1, 0, -4 means x²−4.
Enter operation.
Math

Add and Subtract Polynomials: calculate results from explicit inputs, with a formula and worked example.

Formula

Align coefficients with equal powers, then add or subtract.

Example Calculation

Example inputs
  • P coefficients: 1, 2, 3
  • Q coefficients: 2, -1
  • Operation: P + Q

(x²+2x+3)+(2x−1) = x²+4x+2; output coefficients 1,4,2.

Method references

Frequently asked questions

How do I use this calculator?

Enter p coefficients, q coefficients, operation. The result updates automatically. Use Reset to restore the example values.

What method does it use?

Align coefficients with equal powers, then add or subtract.. Real finite inputs. Numeric results use floating-point arithmetic; this is not a symbolic computer algebra system.

Why might a rounded result differ?

The calculation keeps full numeric precision internally, then rounds the displayed result. Rounding intermediate steps by hand can produce a slightly different answer.

Are my inputs saved online?

No. This calculator processes your inputs in your browser. A recently used list stores only calculator names on this device, not your entered values.

Check the assumptions and units before using this result. Read about calculation methods.