Polynomials: Remainder Theorem
The remainder when
w
2
– 8
is divided by
w
– 2
is
Worked Solution:
The Remainder Theorem:
When a polynomial
P
(
w
)
is divided by
w
–
a
the remainder is
P
(
a
)
The divisor is
w
– 2
so we substitute
w
= 2
into
w
2
– 8
:
P
(2) =
(2)
2
– 8
=
–4
the remainder is
–4
.
©
MEI Produced by Dr Ron Knott, 3 September 2004
Test reference:
PolyRemThm.html?ref=42339