Dividing two polynomials by using synthetic division

The video tutorial explains the concepts of monomials and binomials, focusing on how terms are multiplied together without addition or subtraction. It introduces polynomial division, specifically when dividing by a linear binomial, and explains the synthetic division process in detail. The tutorial walks through the steps of synthetic division, including setting the divisor to zero, using coefficients, and interpreting the results. It emphasizes understanding the remainder, constant, and linear terms in the context of division results. The video concludes with unrelated information about bus routes.

What distinguishes a monomial from a binomial?

• A monomial is a term with a coefficient, while a binomial has no coefficients.

• A monomial is always positive, while a binomial can be negative.

• A monomial is a term with a variable, while a binomial has no variables.

• A monomial is a single term, while a binomial has two terms separated by addition or subtraction.

What is the first step in synthetic division when dividing by a linear binomial?

• Multiply the coefficients by the divisor.

• Set the divisor equal to zero.

• Add the coefficients together.

• Subtract the divisor from the polynomial.

In synthetic division, what should you do if a term is missing in the polynomial?

• Ignore the missing term.

• Add a zero in place of the missing term.

• Subtract the missing term from the next term.

• Multiply the missing term by the divisor.

What does a remainder of zero indicate in synthetic division?

• The divisor evenly divides the polynomial.

• The polynomial is quadratic.

• The divisor is not a factor of the polynomial.

• The polynomial has no constant term.

What is the significance of the linear term in the result of synthetic division?

• It is part of the quotient of the division.

• It is the factor of the divisor.

• It indicates the degree of the original polynomial.

• It represents the remainder of the division.