Adding and subtracting 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

What are like terms in a polynomial?

Back

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

Front

How do you add polynomials?

Back

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

Front

How do you subtract polynomials?

Back

To subtract polynomials, distribute the negative sign to the terms of the polynomial being subtracted, 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 coefficient in a polynomial?

Back

A coefficient is a numerical factor in a term of a polynomial. For example, in 4x^2, 4 is the coefficient.

Front

What does it mean to combine like terms?

Back

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

Front

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

Back

The result is 7x^2 - 3x.

Front

What is the result of subtracting (5x - 3) from (2x + 4)?

Back

The result is -3x + 7.

Front

How do you identify like terms in an expression?

Back

To identify like terms, look for terms that have the same variable(s) raised to the same power(s).