Question

if x+1 is the factor of polynominal 2x+kx k=
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Answer 1

Answer:

K = 2

Step-by-step explanation:

Let p(x) = 2x2 + kx

Since, (x + 1) is a factor of p(x), then

p(-1)=0

2(-1)2 + k(-1) = 0

⇒ 2-k = 0 ⇒ k= 2

Hence, the value of k is 2.

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Answer 2

Correct Question :

If (x + 1) is a factor of 2x² + kx the value of k is

Answer :

• The value of k is 2

Given Parameters :

• p(x) = 2x² + kx
• g(x) = x + 1

Unknown :

• The value of k = ?

Solution :

To check whether g(x) is a factor of p(x) :

↠(x + 1) = 0

↠x = -1

Now,we have to just put the value of x = -1 in given polynomial p(x) 2x² + kx and then we will get the value of k.

◖ By using factor theorem we get :

⇒p(x) = 2x² + kx

⇒p(-1) = 2(-1)² + k(-1)

⇒2(-1)² + (-1)k = 0

⇒2 - k = 0

⇒-k = -2

⇒k = 2

• Hence,the value of k is 2.