Alg F2 Topic #7 Operations with Polynomials Test (F2024)

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 a monomial?

Back

A monomial is a polynomial with only one term, such as 3x^2 or -5.

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms, such as 2x + 3 or x^2 - 4.

Front

What is a trinomial?

Back

A trinomial is a polynomial with exactly three terms, such as x^2 + 5x + 6.

Front

How do you multiply two polynomials?

Back

To multiply two polynomials, use the distributive property (FOIL for binomials) to multiply each term in the first polynomial by each term in the second polynomial.

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

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

Back

x^2 + 5x + 6.

Front

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

Back

5x^3 - 13x^2 + 24x + 12.

Front

How do you classify the polynomial 12?

Back

Monomial.