Find the value of k, if (2x - 3) is a factor of 2x3 - 9x2 + x+ k.
Answers
Answered by
2
Answer:
only follow me
Step-by-step explanation:
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
6
Answer:
29/2 is your answer
Step-by-step explanation:
- we have g(x)=2x-3=0
- x=3/2
- and p(x)=2x³-9x²+x+k=0------------------(i)
- putting the value of x in p(x) we have,
- => 2(3/2)³-9(3/2)²+(3/2)+k=0
- => k=29/2 is your answer
- thank u
- please mark me brainliest
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