Question

If one of the zeroes of the quadratic polynomial (k–1) x² + k x + 1 is –3, then the value of k is  

(A) 4/3 (B) -4/3 (C)  2/3 (D) -2/3

Answer 1

(A) 4/3

Explanation:

According to the question,

-3 is one of the zeros of quadratic polynomial (k-1)x²+kx+1

Substituting -3 in the given polynomial,

(k-1)(-3)²+k(-3)+1=0

(k-1)9+k(-3)+1 = 0

9k-9-3k+1=0

6k-8=0

k=8/6

Therefore, k = 4/3

Hence, option (A) is the correct answer.