Determining Factors and Listing the Zeros of a Polynomial Using Synthetic Division

The video tutorial explains how to verify polynomial factors by checking if they divide evenly into the function and by using synthetic division. It demonstrates the process of synthetic division to determine if given factors are valid and shows how to find zeros of a polynomial. The tutorial also covers the factorization of polynomials and concludes with verifying the factors and finding all zeros.

What is one method to verify if a polynomial has certain factors?

• By ensuring the factors are even numbers

• By adding the factors to the polynomial

• By dividing the polynomial evenly by the factors

• By checking if the factors are prime numbers

In synthetic division, what is the first step after writing down the coefficients?

• Divide the first coefficient by the factor

• Multiply the first coefficient by the factor

• Drop down the first coefficient

• Add all coefficients together

What does a remainder of zero indicate in synthetic division?

• The factor is a factor of the polynomial

• The polynomial cannot be factored further

• The factor is not a factor of the polynomial

• The polynomial is prime

How can the polynomial X^2 - 3X + 2 be factored further?

• X - 2 and X - 1

• X + 2 and X - 1

• X - 2 and X + 1

• X + 2 and X + 1

What are the zeros of the polynomial after factoring?

• 5, 3, 2, 1

• 5, 4, 2, 1

• 4, 3, 2, 1

• 5, 4, 3, 2