Question

1. If the sum of the zeroes of the quadratic polynomial kx2 + 2x + 3k is equal to their product, then k is equal to

a)1/3
b)-2/3
c)-1/3
d)2/3

please answer the question ASAP and explain the answer
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Answer 1

Answer: -2/3

Step-by-step explanation:

Compare given Quadratic polynomial kx²+2x+3k by  

ax²+bx+c , we get  

a = k , b = 2 , c = 3k

 

Sum of zeros is -2/k(-b/a) and product of zeros is 3(3k/k).  

According to the problem given,  

sum of the zeroes is equal to their product.

     

Therefore,

-2/k * 3

3k= -2

k= -2/3