Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and exponents, combined using addition, subtraction, and multiplication. For example, 3x^2 + 2x - 5 is a polynomial.

Front

What does it mean to add polynomials?

Back

Adding polynomials involves combining like terms from two or more polynomial expressions. For example, (2x + 3) + (4x + 5) = 6x + 8.

Front

What are like terms?

Back

Like terms are terms in a polynomial that have the same variable raised to the same power. For example, 3x^2 and 5x^2 are like terms.

Front

How do you subtract polynomials?

Back

To subtract polynomials, you add the opposite of the polynomial being subtracted. For example, (3x^2 + 2x) - (x^2 + 4) = (3x^2 + 2x) + (-1)(x^2 + 4).

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 + 2x^2 - x, the degree is 3.

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, the coefficient is 5.

Front

What is the constant term in a polynomial?

Back

The constant term is the term in a polynomial that does not contain any variables. For example, in 3x^2 + 4x + 7, the constant term is 7.

Front

What is the result of (-2y^2 + 7y - 1) + (3y^2 - 5y + 9)?

Back

1y^2 + 2y + 8.

Front

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

Back

4x^3 + 1x^2 - 3x + 1.

Front

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

Back

6x^2 - 4x - 1.