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 is the degree of a polynomial?

Back

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

Front

How do you add polynomials?

Back

To add polynomials, combine like terms by adding their coefficients.

Front

How do you subtract polynomials?

Back

To subtract polynomials, change the signs of the terms in the polynomial being subtracted and then combine like terms.

Front

What is the product of (a + b)(a - b)?

Back

The product is a² - b², known as the difference of squares.

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 in a polynomial.

Front

What are like terms?

Back

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

Front

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

Back

The result is x² + 5x + 6.

Front

What is the result of (2x + 3)(x - 1)?

Back

The result is 2x² + x - 3.

Front

How do you multiply polynomials?

Back

To multiply polynomials, use the distributive property or FOIL method for binomials.