If x-3 is a factor of 2x² + 9x + k, then the value
of 'k' is
Answers
Answered by
0
Answer:
ANSWER
(2x−3) is a factor of p(x)=2x
3
−9x
2
+x+K,
If (2x−3)=0,x=
2
3
If (2x−3) is a factor of p(x) then p(
2
3
)=0
p(x)=2x
3
−9x
2
+x+K,
⇒p(
2
3
)=2(
2
3
)−9(
2
3
)+
2
3
+K=0
⇒2(
8
27
)−9(
4
9
)+
2
3
+K=0
⇒(
4
27
−
4
81
+
2
3
+K=0)×4
27−81+6+4K=0
−48+4K=0
4K=48
So K=12
Answered by
0
Answer:
The value of k is 26
explained below :
Step-by-step explanation:
2(x-3)(x-3)+9(x+3)+k
2(2x+6)+9x+27+k
4x+12+36x+k
16x+36x+k
k=36-16
k=26
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