Add and Subtract Polynomials

Front

What is a polynomial?

Back

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

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 degrees, from highest to lowest.

Front

How do you add polynomials?

Back

To add polynomials, combine like terms by adding their coefficients while keeping the variable part the same.

Front

What are like terms?

Back

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

Front

How do you subtract polynomials?

Back

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

Front

What is the degree of a polynomial?

Back

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

Front

What is a coefficient in a polynomial?

Back

A coefficient is a numerical factor in a term of a polynomial.

Front

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

Back

The result is 6x^2 + 2x.

Front

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

Back

The result is 2x^2 - 3x - 7.

Front

What is the process to simplify the polynomial 5x^2 - 3x + 2 - (2x^2 + x - 1)?

Back

Combine like terms: (5x^2 - 2x^2) + (-3x - x) + (2 + 1) = 3x^2 - 4x + 3.