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 combine like terms in a polynomial?

Back

To combine like terms, identify terms with the same variable and exponent, then add or subtract their coefficients.

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 process of adding polynomials?

Back

To add polynomials, combine like terms from each polynomial, ensuring to align terms with the same degree.

Front

What is the process of subtracting polynomials?

Back

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

Front

What is the result of (a + b) + (c + d)?

Back

The result is a + b + c + d, combining all terms.

Front

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

Back

The result is -x^2 + 2x after combining like terms.

Front

How do you simplify the expression (5x + 2) + (4x - 5)?

Back

Combine like terms: 5x + 4x + 2 - 5 = 9x - 3.