5.1 Adding, Subtracting, and Multiplying 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 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 a monomial?

Back

A monomial is a polynomial with only one term.

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms.

Front

What is a trinomial?

Back

A trinomial is a polynomial with exactly three terms.

Front

What is the coefficient in a polynomial?

Back

The coefficient is the numerical factor in front of a variable in a term of a polynomial.

Front

What does it mean to simplify a polynomial?

Back

To simplify a polynomial means to combine like terms and express it in its simplest form.

Front

What is the result of -5x^6(3x^2 - 12x + 30)?

Back

-15x^8 + 60x^7 - 150x^6.