The video tutorial explains how to divide a polynomial by a binomial using long division. It begins by introducing the concept and setting up the polynomial in descending order. The instructor then demonstrates the long division process step-by-step, highlighting the importance of subtracting terms and handling remainders. The tutorial concludes with a summary of the division process and its application.

What is the first step when dividing a polynomial by a binomial using long division?

• Subtract the binomial from the polynomial

• Add the binomial to the polynomial

• Rearrange the polynomial in descending order of exponents

• Multiply the polynomial by the binomial

In the long division process, what do you do after finding how many times the binomial divides into the leading term of the polynomial?

• Divide the result by the polynomial

• Ignore the result and move to the next term

• Multiply the result by the binomial and subtract from the polynomial

• Add the result to the polynomial

What is the result of subtracting a negative term from another negative term during polynomial division?

• A positive term

• A negative term

• Zero

• The same negative term

What should you do with the remainder after completing the long division of a polynomial by a binomial?

• Ignore it

• Add it to the quotient

• Multiply it by the binomial

• Express it as a fraction over the divisor

What is the final step in the long division process of a polynomial by a binomial?

• Multiply the remainder by the divisor

• Subtract the remainder from the quotient

• Add the remainder to the polynomial

• Express the remainder as a fraction over the divisor