Add/Subtract 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 does it mean to add polynomials?

Back

Adding polynomials involves combining like terms from two or more polynomial expressions to form a single polynomial.

Front

What are like terms in polynomials?

Back

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

Front

How do you combine like terms?

Back

To combine like terms, add or subtract their coefficients while keeping the variable part the same. For example, 3x + 5x = 8x.

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 the result of (7x^2 - 3x) + (5x^2 + x + 3)?

Back

The result is 12x^2 - 2x + 3.

Front

What is the result of (4a^3 - 8a - 4a^2) + (7a^3 - 7 - 6a)?

Back

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

Front

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

Back

The result is 3x^3 + 5.

Front

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

Back

The result is 9x + 7.

Front

What is the process of subtracting polynomials?

Back

Subtracting polynomials involves changing the signs of the terms in the polynomial being subtracted and then combining like terms.