Add and Subtract Polynomials

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.

Front

How do you classify a polynomial by its degree?

Back

The degree of a polynomial is the highest exponent of its variable. For example, in the polynomial 3x^4 + 2x^2 - 5, the degree is 4.

Front

What is a monomial?

Back

A monomial is a polynomial with only one term, such as 5x^3 or -2.

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms, such as x + 2 or 3x^2 - 4.

Front

What is a trinomial?

Back

A trinomial is a polynomial with exactly three terms, such as x^2 + 3x + 2.

Front

How do you add polynomials?

Back

To add polynomials, combine like terms by adding their coefficients. For example, (2x^2 + 3x) + (4x^2 + 5) = 6x^2 + 3x + 5.

Front

How do you subtract polynomials?

Back

To subtract polynomials, distribute the negative sign and then combine like terms. For example, (3x^2 + 4) - (2x^2 + 1) = x^2 + 3.

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x^2 and 5x^2 are like terms.

Front

What is the result of adding (2x^2 + 3x) and (3x^2 + 4x)?

Back

The result is 5x^2 + 7x.

Front

What is the result of subtracting (4x^3 - 2x) from (2x^3 + 3x)?

Back

The result is -2x^3 + 5x.