Question

if 1 is the zero of the quadratic polynomial x2+kx+5. find the value of k

Answer 1

Given that 1 is the root,

x = 1

Putting the value of x in the given equation,

x² + kx + 5 = 0

(1)² + k(1) + 5 = 0

1 + k + 5 = 0

6 + k = 0

k = -6


I hope this will help you

(-:

Answer 2

Heya !!!


Given :- one zero of the given polynomial is 1.


It means 1 is a factor of the polynomial X²+KX+5.



(X-1) is also a factor of the given polynomial.


So,


(X-1) = 0


X = 1



P(X) = X²+KX+5


P(1) = (1)² + K × 1 + 5



=> 1 + K +5 = 0



=> K +6 = 0


=> K = -6


HOPE IT WILL HELP YOU...... :-)