Question

If -3 is one of the zeros of the quadratic polynomial K - 1 X square + k x -3

Answer 1

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Answer 2

Given:

-3 is one of the zeros of the quadratic polynomial K - 1 X square + k x -3

To find:

Find the value of k.

Solution:

From given, we have,

-3 is one of the zeros of the quadratic polynomial K - 1 X square + k x -3

A root of the equation should satisfy that equation.

Thus, we have,

K - 1 X square + k x -3 = 0

⇒ (k - 1) x²+ kx - 3 = 0

substitute x = -3 in the above equation.

(k - 1) (-3)²+ k (-3) - 3 = 0

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

9k - 9 - 3k - 3 = 0

9k - 3k = 3 + 9

6k = 12

k = 2

Therefore, the value of k is 2.