Question

If (x+2) is a factor of 2x³+5x²-x-k then the value of k is​

Answer 1

Answer:

6

Step-by-step explanation:

Let p( x ) = 2x³ + 5x² - x - k

x + 2 is a factor

Finding zero of (x + 2)

=> x + 2 = 0

=> x = - 2

By Factor theorem

p( - 2 ) = 0

=> 2( - 2 )³ + 5( - 2 )² - ( - 2 ) - k = 0

=> 2( - 8 ) + 5( 4 ) + 2 - k = 0

=> - 16 + 20 + 2 - k = 0

=> - 16 + 22 - k = 0

=> 6 - k = 0

=> k = 6

Answer 2

Answer:Factor is (x+2)

Solution:

x+2=0

x= -2

Now we will solve this putting the value of x in p(x).

p(x)=0

2(-2)^3+5(-2)^2-(-2)-k=0

2(-8)+5(4)+2-k=0

-16+20+2=k

22-16=k

6=k

Hope it helps.....

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