What do you need to know to apply synthetic division

The video tutorial covers the basics of synthetic division, emphasizing the importance of understanding factors, zeros, and roots. It explains how to apply synthetic division by setting factors equal to zero and highlights the steps involved, including adding, subtracting, and multiplying polynomials. The tutorial also discusses the significance of fillers in polynomials to ensure accurate division. Overall, it provides a comprehensive guide to mastering synthetic division.

What is the first step in applying synthetic division to a polynomial?

• Set the factor equal to zero to find the zero or root.

• Multiply the polynomial by its factor.

• Add the coefficients of the polynomial.

• Subtract the factor from the polynomial.

How are factors and zeros related in the context of synthetic division?

• Zeros are subtracted to find factors.

• Factors are added to find zeros.

• Zeros are multiplied to find factors.

• Factors are set to zero to find the zeros.

In synthetic division, what operations are primarily used?

• Adding, subtracting, and multiplying

• Adding and dividing

• Dividing and subtracting

• Multiplying and dividing

Why is it important to understand the definition of a polynomial when using synthetic division?

• To eliminate unnecessary terms

• To ensure all terms, including those with zero coefficients, are considered

• To simplify the polynomial before division

• To identify the highest degree term

What is the role of fillers in synthetic division?

• They increase the degree of the polynomial.

• They eliminate zero coefficients.

• They simplify the polynomial.

• They help in identifying the quotient by including all terms.