find the value of k if (x-1) is a factor of the polynomial kx²-3x+k

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Solution

Finding remainder when
3x^2-3x+k is divded by x-1

Apply remainder theorem
=>x - 1 =0
=> x = 1

According to remainder theorem p(1) = 0
we get
Plug x = 1 we get

P(1) = k(1)² -3(1) + k
0= k – 3 + k
0 = 2k – 3
3 = 2k

3/2 = k
Answer k = 3/2

Hope it helps..

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Q. Find the value of k, if x - 1 is a factor of p(x)

p (x) = k x^{2} - 3 x + k

If one of the zero of the quadratic polynomial $k x^{2} + 3 x + k$ is $2$ then find the value of $k$ .

Find the value of k, if x − 1 is a factor of p(x) in each of the following cases:

(i) p(x) = x² + x + k (ii)

(iii) (iv) p(x) = kx² − 3x + k

Find the value of k, if x - 1 is a factor p(x) in each of the following cases:
(i) $p (x) = x^{2} + x + k$
(ii) $p (x) = 2 x^{2} + k x + \sqrt{2}$
(iii) $p (x) = k x^{2} - \sqrt{2} x + 1$
(iv) $p (x) = k x^{2} - 3 x + k$

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find the value of k if (x-1) is a factor of the polynomial kx2-3x+k

Finding remainder when 3x^2-3x+k is divded by x-1 Apply remainder theorem =>x - 1 =0 => x = 1 According to remainder theorem p(1) = 0 we get Plug x = 1 we get P(1) = k(1)2 -3(1) + k 0= k – 3 + k 0 = 2k – 3 3 = 2k 3/2 = k Answer k = 3/2 Hope it helps..

find the value of k if (x-1) is a factor of the polynomial kx²-3x+k

Finding remainder when
3x^2-3x+k is divded by x-1

Apply remainder theorem
=>x - 1 =0
=> x = 1

According to remainder theorem p(1) = 0
we get
Plug x = 1 we get

P(1) = k(1)² -3(1) + k
0= k – 3 + k
0 = 2k – 3
3 = 2k

3/2 = k
Answer k = 3/2

Hope it helps..