Dividing two polynomials using synthetic division

The video tutorial explains how to solve an equation using synthetic division. It begins by setting up the equation and identifying missing terms. The process of synthetic division is demonstrated step-by-step, including handling coefficients and calculating the remainder. Finally, the solution is finalized by converting results and presenting the quotient.

What is the first step in setting up synthetic division for a polynomial?

• Set the divisor equal to zero and solve for X

• Multiply the divisor by the dividend

• Convert the remainder to a fraction

• Add the coefficients of the polynomial

When performing synthetic division, what should you do if a term is missing in the polynomial?

• Ignore the missing term

• Use zero as the coefficient for the missing term

• Double the coefficient of the next term

• Subtract the missing term from the divisor

What is the result of multiplying a negative number by a negative fraction in synthetic division?

• A positive number

• A negative number

• Zero

• The same negative number

How do you handle the remainder in synthetic division?

• Multiply it by the divisor

• Convert it to a fraction with the same denominator as the divisor

• Ignore it if it's zero

• Add it to the quotient as a constant

What is the final form of the quotient in synthetic division?

• A polynomial with the remainder as a fraction of the divisor

• A polynomial with the remainder added as a constant

• A polynomial multiplied by the divisor

• A polynomial divided by the original divisor