Applying synthetic division with fractions

The video tutorial explains the process of synthetic division, starting with identifying the divisor and finding its zero. The instructor demonstrates how to apply synthetic division using coefficients, ensuring they are in descending order. The process involves calculating the remainder and verifying the results, with a focus on understanding the transition from remainder to constant, linear, and quadratic terms.

Why can't synthetic division be applied in this scenario?

• The divisor is not a polynomial.

• The divisor is raised to the power of 1.

• The zero of the divisor is not a real number.

• The coefficients are not in descending order.

What is the zero of the divisor 2X + 1?

• 1/2

• 1

• -1

• -1/2

What is the first step in setting up the division process?

• Finding the remainder

• Multiplying the coefficients

• Adding the coefficients

• Writing the zero on the outside

What is the result of multiplying 14 by -1/2?

• -7

• 7

• 14

• -14

What type of term follows the linear term in the division process?

• Exponential

• Cubic

• Quadratic

• Constant