Answer:
– 2
Step-by-step explanation:
From the question given above, the following data were obtained:
P(x) = polynomial
P(–5) = – 2
P(5) = –1
Remainder when P(x) is divided by
(x + 5) =?
To obtain the remainder when P(x) is divided by (x + 5), we shall apply the reminder theorem as follow:
Let (x + 5) be equal to 0
(x + 5) = 0
x + 5 = 0
Subtract 5 from both side
x + 5 – 5 = 0 – 5
x = –5
Replace x in P(x) with –5 as shown below:
P(x) = polynomial
x = – 5
P(–5)
From the question given above,
P(–5) = – 2
Therefore, when P(x) is divided by
(x + 5), the remainder is – 2.
