If one of the zeroes of the quadratic polynomial (k-1)x^2+kx+1 is-3 then the value of k is

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

• `4/3`

• `(-4)/3`

• `2/3`

• `(-2)/3`

If one of the zeroes of the quadratic polynomial (k – 1)x2 + k x + 1 is – 3, then the value of k is `4/3`.

Explanation:

– 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`

Concept: Relationship Between Zeroes and Coefficients of a Polynomial

  Is there an error in this question or solution?

Uh-Oh! That’s all you get for now.

We would love to personalise your learning journey. Sign Up to explore more.

Sign Up or Login

Skip for now

Uh-Oh! That’s all you get for now.

We would love to personalise your learning journey. Sign Up to explore more.

Sign Up or Login

Skip for now