 When Synthetic Division Can Be Used
 Use synthetic division only when the divisor has the form x  a, where a is some number.
 How to Do Synthetic DivisionLearn by Example
 Dividend must be written in descending powers of x.
 Divisor must have the form x  a.

Notes 
x^{3} + x + 10 = (x + 2)(x^{2}  2x + 5) 
Notice that when the remainder is 0, the divisor and quotient are factors of the dividend, as the above equation shows. 
Dividend 
x^{3} + x + 10 
Divisor 
x + 2 
Quotient 
x^{2}  2x + 5 
Remainder 
0 
