Question

find the value of k,if x-1 is a factor of kx^2-3x+k​

Answer 1

p(x) = kx^2 - 3x + k

now,

x-1 = 0

x = 1

now putting this value of x in p(x),

p(1)= k(1)^2 - 3(1) + k

= k - 3 + k

= 2k - 3

now,

2k - 3 = 0

2k = 3

k = 3/2.

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Answer 2

Step-by-step explanation:

let,

kX^2-3x+k = f(X)

given,

x-1 is a factor then,

x-1=0

x=1

substitute x=1 in the equation f(x)

f(1) = k(1)^2-3(1)+k

0 = k-3+k

0 = 2k-3

2k = 3

k = 3/2

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