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MCQ

Fill in the Blanks

If one of the zeroes of the quadratic polynomial (k – 1)x^{2} + k x + 1 is – 3, then the value of k is ______.

#### Options

`4/3`

`(-4)/3`

`2/3`

`(-2)/3`

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#### Solution

If one of the zeroes of the quadratic polynomial (k – 1)x^{2} + 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)x^{2} + 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

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