Identify, 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 polynomials by the number of terms?

Back

Polynomials can be classified as monomials (1 term), binomials (2 terms), trinomials (3 terms), or polynomials with more than three terms.

Front

What is the standard form of a polynomial?

Back

The standard form of a polynomial is when the terms are arranged in descending order of their exponents.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest exponent of the variable in the polynomial.

Front

How do you add polynomials?

Back

To add polynomials, combine like terms by adding their coefficients.

Front

How do you subtract polynomials?

Back

To subtract polynomials, distribute the negative sign and then combine like terms.

Front

What are like terms in a polynomial?

Back

Like terms are terms that have the same variable raised to the same power.

Front

What is the result of adding (2x^2 + 5x - 7) and (3 - 4x^2 + 6x)?

Back

The result is -2x^2 + 11x - 4.

Front

What is the result of simplifying (x^5 + x^3) - (6x - x^3 + 6x^5)?

Back

The result is -5x^5 + 2x^3 - 6x.

Front

What is the process to simplify (6x + 4x^4 - 3x^2) + (7x^4 + 5x^2 + 8x)?

Back

Combine like terms to get 11x^4 + 2x^2 + 14x.