How to apply synthetic division when your zero is a fraction

The video tutorial explains how to handle linear divisors in polynomial equations. It begins by ensuring the divisor is linear, then demonstrates solving the equation 2X - 1 = 0. The tutorial covers the importance of coefficients and standard form, followed by a detailed walkthrough of the polynomial division process. Finally, it shows how to write the polynomial with a remainder, emphasizing the need to include the remainder over the divisor.

What is the first step when dealing with a linear divisor?

• Multiply the divisor by the dividend.

• Subtract the divisor from the dividend.

• Add the divisor to the dividend.

• Set the divisor equal to zero and solve for the variable.

Why is it unnecessary to include zeros in the coefficients during synthetic division?

• Because zeros make the calculation more complex.

• Because zeros are automatically included in the calculation.

• Because the polynomial is in standard form with no missing terms.

• Because zeros do not affect the outcome.

What is the result of multiplying the first coefficient by 1/2 in the synthetic division process?

• 2

• 4

• 0

• 1

How should the remainder be expressed in the final polynomial?

• As a fraction over the divisor.

• As a constant term.

• As a separate term added to the polynomial.

• As a coefficient of the highest degree term.

What is the final polynomial expression if the constant term is zero?

• Two X cubed plus four X squared minus two X.

• Two X cubed plus four X squared plus two X.

• Two X cubed minus four X squared minus two X.

• Two X cubed plus two X squared minus four X.