Adding Polynomials 9S

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. 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 the same.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the expression. For example, in 4x^3 - 5x^2 + 2, the degree is 3.

Front

What is the coefficient in a polynomial term?

Back

The coefficient is the numerical factor in a term of a polynomial. For example, in 5x^2, 5 is the coefficient.

Front

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

Back

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

Front

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

Back

The result is 2x^3 - 6x^2 + 9x.

Front

How do you simplify the expression (4a^3 - 8a - 4a^2) + (7a^3 - 7 - 6a)?

Back

The simplified expression is 11a^3 - 4a^2 - 14a - 7.

Front

What is the process of combining like terms?

Back

Combining like terms involves adding or subtracting the coefficients of terms that have the same variable and exponent.

Front

What is an example of a polynomial with three terms?

Back

An example of a polynomial with three terms is 2x^2 + 3x - 5.