Question

find the value of k if (x+1) is a factor of the polynomial 2x^2+kx​

Answer 1

Answer:

Now 2x²+kx=0

or x(2x+k)=0.......(i)

But given that (x+1) is a factor of 2x²+kx

So 2x+k must be equal to x+1

Therefore 2x+k = x+1.......(ii)

or k = 1–x ......(iii)

If we will see equations (i) and (ii) we get

x(x+1)=0

x=0 or x = –1

putting these values in equation (iii) we have

k = 1 (impossible)or k=2

so required answer is k=2

Answer 2

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