Question

for that value of k, is 3 a zero of the polynomial 2x^2+x+k

Answer 1

Hey !

Solution:

Given that 3 is a zero of the given polynomial : 2x² + x + k

=> f ( x ) = 3

So substituting the values of x we must get zero. So using this principle we get,

=> 2 ( 3 )² + 3 + k = 0

=> 2 * 9 + 3 + k = 0

=> 18 + 3 + k = 0

=> 21 + k = 0

=> k = ( -21 )

Hence for the polynomial 2x² + x + k, the value of 'k' is ( -21 ).

Hope my answer helped !