Question

find the value of k if x-1 is a factor of P (x) = Kx square -3x+K

Answer 1

Answer:

P(x) = Kx^2 -3x + K

x -1 is a factor

so,

x = 1

therefore,

P(1) = K * 1^2 - 3*1 + K = 0

K-3+K=0

2K -3 = 0

2K = 3

K = 3/2

Step-by-step explanation:

Answer 2

hi frnd!

Answer:

if x-1 (i.e. x=1) is a factor of p(x) then

p(x)=0

i.e. p(1)=0

Step-by-step explanation:

Substituting the value of x in p(x)

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

0 = k*1 - 3 + k

0 = k + k - 3

0 = 2k - 3

0+3 = 2k

3 = 2k

⇒ k = 3/2

Hence the value of k is 3/2

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