MATH CALCULATOR
Add Subtract Polynomials Calculator
Effortlessly add and subtract polynomials with our intuitive calculator.
What is the Add Subtract Polynomials Calculator & How does it work?
Polynomials are expressions consisting of variables and coefficients, involving operations of addition, subtraction, multiplication, and non-negative integer exponents of variables. When adding or subtracting polynomials, you combine like terms, which are terms that have the same variable raised to the same power.To perform addition or subtraction, align like terms and add or subtract their coefficients. The result is a new polynomial with the same variables.
(a_nx^n + a_{n-1}x^{n-1} + … + a_1x + a_0) ± (b_mx^m + b_{m-1}x^{m-1} + … + b_1x + b_0)
a_n, a_{n-1}, …, a_0 = coefficients of the first polynomial
b_m, b_{m-1}, …, b_0 = coefficients of the second polynomial
b_m, b_{m-1}, …, b_0 = coefficients of the second polynomial
Parameters
Result—
Frequently Asked Questions
How do I add two polynomials?
To add polynomials, combine like terms by adding their coefficients. For example, (3x^2 + 2x) + (5x^2 – x) = 8x^2 + x.
Can I subtract polynomials using this calculator?
Yes, to subtract polynomials, change the signs of the second polynomial’s terms and then add. For example, (3x^2 + 2x) – (5x^2 – x) = -2x^2 + 3x.
What are like terms in polynomials?
Like terms are terms with the same variable raised to the same power. They can be combined by adding or subtracting their coefficients.
How do I input polynomials into the calculator?
Enter each polynomial in the format ‘a_nx^n + a_{n-1}x^{n-1} + … + a_1x + a_0’, using the appropriate coefficients and exponents.
Can this calculator handle polynomials with different numbers of terms?
Yes, the calculator can add or subtract polynomials regardless of whether they have the same number of terms. It will automatically combine like terms.
What if my polynomial has a missing term (e.g., x^2 + 3x + 5 without an x term)?
You can still input it as usual; just include the term with zero coefficient. For example, x^2 + 0x + 3x + 5.
Is there a limit to the degree of polynomials I can use?
No, this calculator can handle polynomials of any degree as long as they are entered correctly.
Results are for informational purposes only and do not constitute professional advice.