en.wikipedia.org/wiki/Synthetic_division

In algebra, **synthetic division** is a method of performing Euclidean division of
polynomials, with less writing and fewer calculations than occur with polynomial ...

www.purplemath.com/modules/synthdiv.htm

**Synthetic division** is a shorthand, or shortcut, method of polynomial division in the
special case of dividing by a linear factor -- and it only works in this case.

www.khanacademy.org/math/algebra2/arithmetic-with-polynomials/synthetic-division-of-polynomials/v/synthetic-division

Sal shows how **synthetic division** of polynomials works.

www.khanacademy.org/math/algebra2/arithmetic-with-polynomials/synthetic-division-of-polynomials/v/synthetic-division-example-2

Let's do another **synthetic division** example. And in another video, we actually
have the why this works relative to algebraic long division. But here it's going to
be ...

www.mesacc.edu/~pikeu/mat120/notes/divide_poly/synthetic/synthetic_division.html

In order to divide polynomials using **synthetic division**, you must be dividing by a
linear expression and the leading coefficient (first number) must be a 1.

www.emathhelp.net/calculators/algebra-1/synthetic-division-calculator

The calculator will divide the polynomial by the binomial using **synthetic division**,
with steps shown.

www.mathportal.org/calculators/polynomials-solvers/synthetic-division-calculator.php

This calculator can divide polynomial using the **synthetic division**. It can also
determine remainder when you divide the given polynomial by $x-c$. The
calculator ...