Operations and Classifying Polynomials Flashcard

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

Classify the polynomial: 3x^2 - 8x + 1

Back

Trinomial (it has three 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

How do you multiply two polynomials?

Back

Use the distributive property (FOIL for binomials) to multiply each term in the first polynomial by each term in the second polynomial, then combine like terms.

Front

Multiply and simplify: (4x + 1)(5x - 2)

Back

20x^2 - 3x - 2.

Front

What is the process for subtracting polynomials?

Back

Distribute the negative sign to the second polynomial and then combine like terms.

Front

Subtract the polynomials: (5x^3 - 2x + 7) - (3x^3 + 4x - 5)

Back

2x^3 - 6x + 12.

Front

What is the process for dividing a polynomial by a monomial?

Back

Divide each term of the polynomial by the monomial and simplify.