Dividing polynomials using long division

This video tutorial explains how to divide polynomials using long division. It begins with setting up the division by identifying the binomial and trinomial involved. The process involves dividing the first term of the binomial into the first term of the trinomial, followed by multiplication and subtraction steps. The tutorial emphasizes the importance of handling remainders correctly and ensuring all terms are accounted for. The video concludes with verifying the solution and ensuring the remainder is zero, indicating a successful division.

What is the first step in dividing a trinomial by a binomial using long division?

• Divide the first term of the trinomial by the first term of the binomial

• Add the binomial to the trinomial

• Subtract the binomial from the trinomial

• Multiply the binomial by the trinomial

Why is it important to substitute a zero term during polynomial division?

• To simplify the multiplication process

• To ensure all terms are accounted for during subtraction

• To make the division process faster

• To avoid multiplying by zero

How do you handle a term in the trinomial that does not have a corresponding variable in the binomial?

• Add it to the next term

• Substitute it with a zero term

• Multiply it by zero

• Ignore the term

What should you remember to do when subtracting terms in polynomial division?

• Ignore the negative sign

• Multiply the terms by two

• Add the terms instead

• Distribute the negative sign to all terms

What happens to the remainder when the division of polynomials is complete?

• It becomes the new divisor

• It is added to the quotient

• It is multiplied by the binomial

• It should be zero for a complete division