Adding Polynomials Practice

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

How do you identify the degree of a polynomial?

Back

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

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 2x and 3x are like terms.

Front

What is a constant term in a polynomial?

Back

A constant term is a term in a polynomial that does not contain any variables. For example, in the polynomial 3x^2 + 4, the constant term is 4.

Front

How do you combine like terms in a polynomial?

Back

To combine like terms, add or subtract the coefficients of the terms that have the same variable and exponent.

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 is the coefficient in a polynomial?

Back

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

Front

How many terms are in the polynomial 4x^2 + 3x - 7?

Back

There are 3 terms in the polynomial: 4x^2, 3x, and -7.

Front

What is the result of adding the polynomials 2x + 3 and 4x - 5?

Back

The result is 6x - 2.

Front

What is the degree of the polynomial 2x^3 + 3x^2 - x + 7?

Back

The degree of the polynomial is 3, which is the highest exponent.