Given a Polynomial and a Factor Rewrite Using the Division Algorithm

The video tutorial reviews synthetic division, explaining factors and their properties. It discusses polynomials and the division algorithm, focusing on finding zeros using factors. The tutorial provides a step-by-step guide to applying synthetic division and understanding the quotient and remainder in division.

What is a factor of a number?

• A number that is always greater than the original number

• A number that divides another number evenly without a remainder

• A number that cannot be divided by any other number

• A number that can be multiplied to get another number

In the division algorithm, what is the term used for the polynomial being divided?

• Divisor

• Dividend

• Quotient

• Remainder

What does the zero product property help you find in a polynomial?

• The remainder of the division

• The sum of the coefficients

• The zeros of the polynomial

• The highest degree of the polynomial

What is the first step in setting up synthetic division?

• Calculating the quotient

• Identifying the divisor

• Arranging the dividend in descending order

• Finding the remainder

What do you call the result of a division in synthetic division?

• Difference

• Sum

• Product

• Quotient

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

• Ignore it

• Subtract the terms

• Multiply the terms

• Add a zero for the missing term

What is the significance of a zero remainder in synthetic division?

• It means the polynomial is incomplete

• It shows the division was incorrect

• It indicates the divisor is not a factor

• It confirms the divisor is a factor