Review of 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

How do you divide a polynomial by a monomial?

Back

To divide a polynomial by a monomial, divide each term of the polynomial by the monomial and simplify.

Front

What is a binomial?

Back

A binomial is a polynomial that contains exactly two terms.

Front

What is the process of simplifying an expression?

Back

Simplifying an expression involves combining like terms and performing operations to reduce the expression to its simplest form.

Front

What are like terms in a polynomial?

Back

Like terms are terms that have the same variable raised to the same power.

Front

How do you classify polynomials based on the number of terms?

Back

Polynomials can be classified as monomials (1 term), binomials (2 terms), trinomials (3 terms), or polynomials with more than three terms.

Front

What is the result of dividing 9x^2 + 6x by 3x?

Back

The result is 3x + 2.

Front

How do you subtract polynomials?

Back

To subtract polynomials, distribute the negative sign to the terms of the polynomial being subtracted and then combine like terms.

Front

What is the standard form of a polynomial?

Back

The standard form of a polynomial is when the terms are arranged in descending order of their degrees.