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Synthetic Division Calculator

Divide any polynomial by a linear binomial (x − r) using synthetic division. Get the full tableau, step-by-step breakdown, quotient, remainder, and factor check.

Polynomial & Divisor

Enter coefficients from highest to lowest degree, then the root r (dividing by x − r)

Enter 0 for missing terms (e.g. x³ + 0x² − 2x + 5)

Enter r, not −r. For (x + 3), enter −3.

Example Polynomials

Click to load example problems

Synthetic Division Tableau

The complete division table

Root / Divisor
Carry-down values
Result row
Remainder

Step-by-Step Solution

Every step explained clearly

Result

Quotient polynomial and remainder

Division Result

Enter polynomial and click
Calculate

How It Works

Step 1 Write the root r and the coefficients in a row.
Step 2 Bring down the first coefficient.
Step 3 Multiply it by r, write below the next coefficient.
Step 4 Add the column. Repeat until done.
Step 5 Last number = remainder. Rest = quotient coefficients.

Remainder Theorem

If P(x) ÷ (x − r) gives remainder = 0, then (x − r) is a factor of P(x), and r is a root/zero of the polynomial.

Guide Articles

Learn more about this calculator and how to use it

Playback Speed Calculator

The Ultimate Guide to Playback Speed Calculators: Save Time While Watching Videos

In today's fast-paced world, time is precious. Whether someone is binge-watching educational content, catching up on podcasts, or reviewing recorded meetings, many people are discovering the benefits of adjusting video playback speeds. A playback speed calculator can help viewers understand exactly how much time they'll save by speeding up their content.

What Is a Playback Speed Calculator?

A playback speed calculator is a simple yet powerful tool that helps users determine how long a video will take to watch at different speeds. Instead of doing mental math while watching content, viewers can instantly see how adjusting the playback rate affects their viewing time.

For instance, someone wondering "how long is a 2 hour video at 2x speed" can quickly find out that it will take exactly one hour to complete. This type of calculation helps people plan their schedules more effectively and decide whether they have enough time to finish their content.

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Frequently Asked Questions