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

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

#### Options

• 4/3

• (-4)/3

• 2/3

• (-2)/3

#### Solution

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
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#### APPEARS IN

NCERT Mathematics Exemplar Class 10
Chapter 2 Polynomials
Exercise 2.1 | Q 1 | Page 9
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