Question

If x + 1 is a factor of the polynomial 2x²+ kx, then the value of k is: *​

Answer 1

Answer:

x + 1 = 0

→ x = -1

Substitute value of x in the given polynomial;

2x² + kx = 0

→ 2(-1)² + k( -1 ) = 0

→ 2( 1 ) + (-k) = 0

→ 2 + (-k) = 0

→ 2 - k = 0

∴ k =

Answer 2

Step-by-step explanation:

given: x+1 is the factor of the given polynomial 2x^2+kx

therefore, x+1=0

x= -1

now, put the value (x= -1) in the given polynomial...

2x^2+kx=0

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

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

2-1k=0

-1k=0-2

-1k= -2

k= -2/-1

(minus minus cancel)

k= 2