Operations with 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 expression.

Front

What does it mean to add polynomials?

Back

To add polynomials, combine like terms by adding their coefficients.

Front

What does it mean to 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 two monomials?

Back

The product of two monomials is found by multiplying their coefficients and adding their exponents.

Front

Perform the operation: (2x)(3x)

Back

6x^2

Front

Perform the operation: (2x^2 + 2) - (3x^2 + 2)

Back

-x^2

Front

Perform the operation: (x^2 + 2)(x + 3)

Back

x^3 + 3x^2 + 2x + 6

Front

What is a binomial?

Back

A binomial is a polynomial that contains exactly two terms.

Front

What is a trinomial?

Back

A trinomial is a polynomial that contains exactly three terms.