Operations with Polynomials for Algebra 1 Review

This video tutorial covers operations with polynomials, including adding, subtracting, multiplying, and dividing them. It explains how to check solutions by graphing when dealing with a single variable. The tutorial provides detailed steps and examples for each operation, using methods like distribution, FOIL, and box method for multiplication, and long division for dividing polynomials.

How do you check if you have simplified a polynomial correctly?

• By subtracting

• By graphing

• By multiplying

• By dividing

What is the first step in adding or subtracting polynomials?

• Combine like terms

• Clear the parentheses

• Distribute the negative sign if necessary

• Graph the original problem

What is the purpose of distributing a negative sign in polynomial subtraction?

• To increase the degree of the polynomial

• To eliminate all variables

• To simplify the expression

• To convert all terms to positive

What is the significance of combining like terms in polynomial operations?

• It introduces new terms to the polynomial

• It increases the degree of the polynomial

• It simplifies the polynomial for easier understanding

• It changes the variables involved

When multiplying a monomial by a polynomial, what is the key operation used?

• Addition

• Division

• Distribution

• Subtraction

What method is recommended for multiplying a binomial by a binomial?

• Long division

• FOIL

• Graphing

• Box method

What does the FOIL method stand for?

• First, Outer, Inner, Last

• Final, Outer, Inner, Last

• First, Open, Inner, Last

• First, Outer, Inner, Linear

What is the result of applying the box method in polynomial multiplication?

• A single term

• A simplified polynomial

• An expanded polynomial

• A reduced polynomial

What is the result of dividing a polynomial by a monomial?

• A binomial

• A monomial

• An indeterminate form

• Another polynomial

When dividing by a polynomial, what technique is used?

• Graphing

• FOIL

• Box method

• Long division