find the value of c+d. if the reminder is 2-x when x^3+CX^2+d is divided by x^2- 5x+b
Answers
Answered by
0
Answer:
Explanation:
The remainder theorem states that when a polynomial
p
(
x
)
is divided by
x
−
a
, the remainder is given by
p
(
a
)
.
Thus, the remainder when
P
(
x
)
is divide by
x
−
2
is
−
2
(
2
)
3
+
c
(
2
)
2
−
5
(
2
)
+
2
=
−
16
+
4
c
−
10
+
2
=
−
24
+
4
c
The remainder when
P
(
x
)
is divided by
x
+
1
is
−
2
(
−
1
)
3
+
c
(
−
1
)
2
−
5
(
−
1
)
+
2
=
2
+
c
+
5
+
2
=
9
+
c
Setting the two as being equal, we have:
−
24
+
4
c
=
9
+
c
3
c
=
33
c
=
11
Hopefully this helps!
Similar questions