Add, Subtract, Multiply 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.

Front

What is a like term in polynomials?

Back

Like terms are terms that have the same variable raised to the same power.

Front

How do you subtract polynomials?

Back

To subtract polynomials, you change the sign of the polynomial being subtracted and then add the resulting polynomial to the first one.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term inside a parenthesis.

Front

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

Back

The result is 6x + 8.

Front

What is the result of (x + 2)(x + 3)?

Back

The result is x² + 5x + 6.

Front

What is the result of (x - 1)(x - 8)?

Back

The result is x² - 9x + 8.

Front

What is the result of (3x + 1)(3x - 1)?

Back

The result is 9x² - 1.

Front

What is the degree of a polynomial?

Back

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