Dividing Polynomials Using the Tabular Method

This video tutorial covers the process of dividing polynomials, starting with key vocabulary such as divisor, quotient, and dividend. It explains the basics of dividing polynomials and monomials, focusing on dividing coefficients and subtracting exponents. The tutorial demonstrates the tabular method for division through two examples, highlighting the setup and execution of the box method. The video concludes with a recap of the tabular method and its application in polynomial division.

What is the term used to describe the number or term that is being divided?

• Factor

• Divisor

• Quotient

• Dividend

What do you call the result of a division operation?

• Difference

• Quotient

• Sum

• Product

What is subtracted from the exponents when dividing monomials?

• Coefficients

• Constants

• Variables

• Exponents

In the tabular method, where is the divisor placed?

• Top left

• Top right

• Bottom right

• Left side

What must the diagonals total to in the tabular method when dividing polynomials?

• The sum of the coefficients

• The product of the divisors

• The difference of the bases

• The original polynomial terms

What indicates that a polynomial is a factor of another in the tabular method?

• No remainder is left

• Diagonals do not match

• Coefficients are prime numbers

• There is a remainder

How many rows are needed in the tabular method relative to the largest exponent in the divisor?

• Two more than the largest exponent

• One more than the largest exponent

• One less than the largest exponent

• Equal to the largest exponent

What is the correct setup for the number of columns in the tabular method?

• One less than the difference of the largest exponents

• Two more than the difference of the largest exponents

• Equal to the difference of the largest exponents

• One more than the difference of the largest exponents

What is the first step when starting division in the tabular method?

• Subtract the exponents

• Start in the top left corner

• Add the coefficients

• Multiply the first terms

Is 'x minus 2' a factor of the polynomial if there is no remainder?

• Yes

• No

• Only if the coefficients are integers

• Only if the polynomial is quadratic