# Worksheet: Finding Zeros of Polynomials

In this worksheet, we will practice using synthetic substitution and depressed polynomials to factor a polynomial to find all its zeros given one of them.

Q1:

Consider the function .

Given that one zero of is , find all zeros of using synthetic division.

• A , , ,
• B , , ,
• C , , ,
• D , , ,
• E , , ,

Write the linear factorization of .

• A
• B
• C
• D
• E

Q2:

Consider .

Given that one zero of is , find all zeros of using synthetic division.

• A , , , 2
• B , , ,
• C , , 2
• D , , ,

Write the linear factorization of .

• A
• B
• C
• D

Q3:

Consider .

Given that one zero of multiplicity 2 of is , find all zeros of using synthetic division.

• A
• B
• C
• D

Write the linear factorization of .

• A
• B
• C
• D

Q4:

Consider the function .

Given that one zero of is , find all zeros of using synthetic division.

• A
• B
• C
• D
• E

Write the linear factorization of .

• A
• B
• C
• D
• E

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