Question

x+1 is a factor of 2kx² + x, find K.

Answer 1

GIVEN:

• x + 1 is a factor of 2kx² + x

TO FIND:

• The value of K.

SOLUTION:

Here,if x + 1 is a factor of P( x ) = 2kx² + x then p( x)=0

Let x + 1 = 0

=> x = -1

P ( x) => 2kx² + x =0

P (-1) => 2 × K × (-1)² + (-1) = 0

=> 2K -1 = 0

=> 2k = 1

=> k = 1/2.

Hence,the value of k is (1/2)