Question

5.Find the value of k , if x – 1 is a factor of kx2 -
3x + k.​

Answer 1

Answer:

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Step-by-step explanation:

ANSWER ::

The zero of the polynomial x - 1 is given by

x - 1 = 0

= 0So

x = 1

Let f(x) = kx² - 3x + k

Now by the Remainder Theorem the required Remainder is

Now by the Remainder Theorem the required Remainder is f(1) = k×1² - 3×1 + k = k - 3 + k = 2k - 3

So

2k - 3 = 0

2k = 3

k = 3/2