Polynomial Operations

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

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 simplify a polynomial expression?

Back

To simplify a polynomial, combine like terms by adding or subtracting their coefficients.

Front

What does it mean to factor a polynomial?

Back

Factoring a polynomial means expressing it as a product of its factors, which can be polynomials of lower degrees.

Front

What is the difference between a monomial and a binomial?

Back

A monomial is a polynomial with one term, while a binomial has two terms.

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 sum.

Front

How do you multiply two polynomials?

Back

To multiply two polynomials, use the distributive property to multiply each term in the first polynomial by each term in the second, then combine like terms.

Front

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

Back

The result is x² + 5x + 6.

Front

What is the process of expanding a polynomial?

Back

Expanding a polynomial involves multiplying out the factors and combining like terms.