What is synthetic division and how do we set it up

The video tutorial introduces synthetic division as a quicker alternative to long division for dividing polynomials. It explains the conditions under which synthetic division can be applied, such as the divisor needing to be linear. The tutorial provides an example of long division and then outlines the steps for setting up and executing synthetic division. The video concludes with a brief summary and hints at further exploration of polynomial zeros.

What is one advantage of synthetic division over long division?

• It can be used for any type of division.

• It is the only method for dividing polynomials.

• It is faster and simpler for certain polynomial divisions.

• It requires no understanding of algebra.

What must the divisor be in the form of for synthetic division to be applicable?

• X / K

• X - K

• X + K

• X * K

Why is it important for the divisor to be linear in synthetic division?

• Because it simplifies the multiplication process.

• Because it makes the division process longer.

• Because it ensures the divisor has a degree of one.

• Because it allows for division by zero.

What is the first step in setting up synthetic division?

• Add the coefficients of the dividend.

• Set the divisor equal to zero.

• Multiply the divisor by zero.

• Subtract the coefficients of the divisor.

Which coefficients are used in the synthetic division process?

• Only the constant term.

• The coefficients of each term in the divisor.

• The coefficients of each term in the dividend.

• Only the leading coefficient.