
Write a polynomial from its roots
Free printable Algebra 2 math worksheet for "Write a polynomial from its roots" — practice polynomial equations and functions. No-prep, print or assign online.
This worksheet guides students through writing polynomial equations from specified roots, emphasizing both real and complex solutions. Teachers can use it to reinforce key Algebra 2 concepts such as the connection between roots and polynomial coefficients and to challenge students with higher-level problem solving. Ideal for practice in polynomial functions, this resource supports mastery of constructing polynomials from roots in various contexts.
Learning objectives
- Construct a polynomial equation given its roots, including complex and repeated roots
- Apply the relationship between roots and coefficients to write polynomials in standard form
- Demonstrate understanding of conjugate root theorem when dealing with complex roots
How to use this worksheet
- Click “Download Worksheet” to get the PDF — free with a KiwiBee account (up to 25 downloads a month).
- Print at home or in class for High School; it's no-prep, with no extra materials needed.
- Hand it out as classwork, homework, or a quick warm-up.
Frequently asked questions
Is the “Write a polynomial from its roots” worksheet free?
Yes. “Write a polynomial from its roots” is a free printable Math worksheet. Sign in with a free KiwiBee account to download the PDF — it includes up to 25 downloads a month.
What grade or age is this Math worksheet for?
It's designed for High School (ages 14–18), covering Polynomial equations and functions.
Do I need to prep anything?
No. It's a no-prep, print-and-go worksheet — just download and hand it out.
Make it your own in the Worksheet Studio
Combine this with other worksheets, duplicate it, or generate a fresh version for any grade and language — free, no sign-up.
Open the Worksheet StudioMore for High School
You might also like

Write a polynomial from its roots
Write a polynomial from its roots

Solve polynomial equations

Conjugate root theorems

Rational root theorem




