Write a polynomial from its roots
Free printable Precalculus math worksheet for "Write a polynomial from its roots" — practice polynomial functions. No-prep, print or assign online.
This worksheet guides students through writing polynomial functions given their roots, reinforcing key concepts in polynomial construction and factorization. Teachers can use this resource to challenge high school precalculus students, helping them master the transition from roots to polynomial expressions. Ideal for practice on polynomial functions, this exercise strengthens understanding of root-factor relationships and polynomial standard form.
Learning objectives
- Identify the roots of a polynomial and use them to construct the corresponding polynomial expression
- Apply the relationship between roots and factors to write polynomials in standard form
- Demonstrate the ability to handle complex and repeated roots when forming polynomials
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 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
Conjugate root theorems
Rational root theorem
Fundamental Theorem of Algebra
