1.

19. Find the value of (2x * 3*) if x=2​

Answer»

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


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