Given One Zero or Factor Find the Remaining Zeros

The video tutorial explains how to find the remaining zeros of a polynomial when given a zero of 2/3. It covers the process of synthetic division, including setting up the division, performing calculations, and checking for errors. The tutorial then demonstrates how to factor the resulting polynomial and apply the Zero Product Property to find the remaining zeros. The video provides a detailed walkthrough of each step, ensuring students understand the process and can apply it to similar problems.

What is the first step in setting up synthetic division when given a zero?

• Add the zero to the constant term

• Place the zero inside the division box

• Multiply the zero by the first coefficient

• Arrange the coefficients in descending order

How can you multiply 48 by 2/3 during synthetic division?

• Convert 48 to a decimal and multiply

• Subtract 2/3 from 48

• Divide 48 by 3 and then multiply by 2

• Add 48 and 2/3 directly

What is the result when you add 41 and -32 during synthetic division?

• 9

• 73

• -9

• 32

What is the purpose of factoring the polynomial after synthetic division?

• To determine the degree of the polynomial

• To find the original polynomial

• To simplify the polynomial

• To find the remaining zeros

Which pair of factors is used to factor the polynomial 16X^2 - 16X + 3?

• 8X and 2X

• 3X and X

• 4X and 4X

• 16X and X

What property is applied to find the remaining zeros after factoring?

• Associative Property

• Commutative Property

• Distributive Property

• Zero Product Property

What are the remaining zeros of the polynomial after applying the Zero Product Property?

• 1/4 and 3/4

• 2/3 and 1/3

• 1/2 and 3/2

• 0 and 1