Question

Given f(x)=x^2+kx-19 and the remainder when f(x)is divided by x-7 is −5, then what is the value of k

Answer 1

The answer is
k
=
2
Step-by-step explanation:
Let
f
(
x
)
=
x
3
+
k
x
2
+
x
+
5
When
f
(
x
)
is divided by
(
x
+
2
)
, the remainder is
=
3
This is the remainder theorem
so,
f
(
−
2
)
=
−
8
+
4
k
−
2
+
5
=
3
4
k
=
3
+
5
=
8
k
=
2

Answer 2

k=2 i goog it

Step-by-step explanation: