Operations with Polynomials

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting 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 polynomial.

Front

What is the leading coefficient of a polynomial?

Back

The leading coefficient is the coefficient of the term with the highest degree in a polynomial.

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 formula for squaring a binomial (a + b)²?

Back

The formula is (a + b)² = a² + 2ab + b².

Front

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

Back

The result is x² + 5x + 6.

Front

What is the result of multiplying (x - 4)(x + 4)?

Back

The result is x² - 16, known as the difference of squares.

Front

How do you multiply a polynomial by a monomial?

Back

Multiply each term of the polynomial by the monomial.