Question

If x + 1 is factor of 2x^2 + kx
then k =?​

Answer 1

Answer:

2

Step-by-step explanation:

We can take g(x) as x+1 and p(x) as 2x²+1

Now, the zero of the polynomial is derived by taking g(x)=0

⇒ x + 1 = 0

⇒x = -1

Substitute x = -1 in p(x)

⇒ p(-1) = 2(-1)² + k(-1)

           = 2(1) + k(-1)

       0  = 2 - k

⇒ -k = -2

∴ k = 2

Hope this helped!

Answer 2

Answer:

The answer is k= 2

Step-by-step explanation:

The zero of the polynomial x+1 is given by

x+1 = 0

x = - 1

Let f (x) = 2x^2 + kx

So by the Remainder Theorem the required Remainder is = f (-1)

= 2(-1)^2 + k×(-1)

= 2-k

So by the given condition

2-k = 0

k = 2

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