Consider this polynomial, where a is an unknown real number.


The remainder of the quotient of
, and
is 17.

Braulio uses synthetic division to find the value of a, and Zahra uses the remainder theorem to find the value of a. Their work is shown.

Diagram shows a mathematical working done by Braulio and Zahra.

Braulio
found the value of a because he
.

Zahra
found the value of a because she