Addition of polynomials

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, 2x^2 + 3x - 5 is a polynomial.

Front

What does it mean to add polynomials?

Back

Adding polynomials involves combining like terms, which are terms that have the same variable raised to the same power.

Front

What are like terms?

Back

Like terms are terms in a polynomial that have the same variable and exponent. For example, 3x and 5x are like terms, while 3x and 4y are not.

Front

How do you combine like terms?

Back

To combine like terms, you add or subtract their coefficients. For example, 3x + 5x = 8x.

Front

What is the result of adding -7x + 10x - 2 and 2x + 5 + 7?

Back

The result is 5x + 10.

Front

What is the result of adding 3x + 15 and 13x - 4?

Back

The result is 16x + 11.

Front

What is the result of adding 3x + 8x + 3 and 6 + 4x + 2?

Back

The result is 15x + 11.

Front

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

Back

The result is 10x + 9.

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 + 5, the degree is 3.

Front

What is a 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.