Adding and Subtracting 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 are like terms in a polynomial?

Back

Like terms are terms that have the same variable raised to the same power. They can be combined by adding or subtracting their coefficients.

Front

How do you add polynomials?

Back

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

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 expression.

Front

What is the leading coefficient of a polynomial?

Back

The leading coefficient is the coefficient of the term with the highest degree in a polynomial.

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.

Front

What does it mean to combine like terms?

Back

Combining like terms means to simplify an expression by adding or subtracting coefficients of terms that have the same variable and exponent.

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 subtracting (3 - 2x + 2x^2) from (4x - 5 + 3x^2)?

Back

The result is -x^2 - 6x + 8.