Adding and Subtracting Polynomials

A polynomial is a mathematical expression that consists of variables, coefficients, and non-negative integer exponents. For example, $$3x^2 + 2x - 5$$ is a polynomial.

Adding polynomials involves combining like terms, which are terms that have the same variable raised to the same power.

Subtracting polynomials involves changing the signs of the terms in the polynomial being subtracted and then combining like terms.

To combine like terms, add or subtract the coefficients of terms that have the same variable and exponent. For example, in $$2x^2 + 3x^2$$ , combine to get $$5x^2$$ .

The result is $$n - 13$$ .

The result is $$2k^3 + 2k^2 + 9$$ .

The result is $$-3n^4 - 3n^2 - 4$$ .

The result is $$-5n^4 + 6$$ .

The result is $$4p^4 - 8p^2 - 8p - 5$$ .

1. Write the polynomials in standard form. 2. Combine like terms by adding their coefficients.