Applying synthetic division when your divisor is a fraction

The video tutorial explains the process of synthetic division, starting with the identification of factors and setting up the division using zeros. It then details the steps to perform synthetic division, including handling coefficients and calculating the remainder. The tutorial concludes by verifying factors and discussing the implications of a zero remainder, confirming the factorization and identifying intercepts.

What is the first step in synthetic division when dealing with a divisor?

• Set the divisor equal to zero and solve for X

• Subtract the divisor from the dividend

• Multiply the divisor by the dividend

• Add the coefficients of the dividend

In synthetic division, what is referred to as the 'freebie'?

• The divisor set to zero

• The remainder of the division

• The last term of the quotient

• The first coefficient of the dividend

What operation is performed after bringing down the 'freebie' in synthetic division?

• Divide the dividend by the divisor

• Subtract the divisor from the dividend

• Multiply on the diagonal and add vertically

• Add the divisor to the dividend

What does a remainder of zero indicate in synthetic division?

• The quotient is incorrect

• The divisor is a factor

• The divisor is not a factor

• The division process needs to be repeated

If the remainder is zero, what can be said about the divisor in relation to the polynomial?

• It is the derivative of the polynomial

• It is the root of the polynomial

• It is a factor of the polynomial

• It is not related to the polynomial