Question

If x+1 is a factor if the polynomial 2x²+kx, then k =
A. -2
B. -3
C. 4
D. 2

Answer 1

Answer:

d

x=-1

2×(-1)*2+ k(-1)

2×1-k

2-k

k=2

Answer 2

Given: x + 1 is a factor if the polynomial 2x² + kx, then k

To find : The value of k .

 

Solution :  

Let, f (x) = 2x² + kx

Since, x + 1 is a factor of  f (x), then f (- 1) = 0

On Substituting x = - 1 in f (x),

2 (- 1)² + k (- 1) = 0

2 × 1 - k = 0

2 - k = 0  

-k = 0 - 2

-k = - 2

k = 2

Hence the value of k is 2.

Among the given options option (D) 2 is correct.

HOPE THIS ANSWER WILL HELP YOU…..

 

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