Learning step by step how to divide polynomials using synthetic division

The video tutorial explains synthetic division, a method used to divide polynomials. It begins with an introduction to the concept and its purpose, followed by a detailed explanation of how to set up the division using coefficients. The process of finding the zero is discussed, and the steps to perform synthetic division are demonstrated. The tutorial concludes with an interpretation of the results, emphasizing the importance of understanding the remainder and quotient.

What is the main difference between synthetic division and long division?

• Synthetic division uses the entire dividend, while long division uses only coefficients.

• Synthetic division divides by the factor, while long division divides by the zero.

• Synthetic division uses coefficients, while long division uses the entire dividend.

• Synthetic division is used for quadratic divisors, while long division is for linear divisors.

When setting up synthetic division, what should you do if a term is missing in the dividend?

• Ignore the missing term.

• Add a new term with a coefficient of one.

• Use the next available term.

• Replace the missing term with zero.

What is the first step in performing synthetic division after setting up the table?

• Multiply on the vertical.

• Add on the diagonal.

• Multiply on the diagonal.

• Add on the horizontal.

In synthetic division, what does the last term in the result represent?

• The leading coefficient.

• The divisor.

• The remainder.

• The constant term.

How do you interpret the coefficients obtained from synthetic division?

• As the factors of the original polynomial.

• As the terms of the quotient polynomial.

• As the roots of the polynomial.

• As the divisor of the polynomial.