Question

Find the value of k,if x-1 is a factor of p(x)in p(x)=kx2-3x+k

Answer 1

Answer:

k = 3/2

Explanation:

p(x) = kx²-3x+k

If (x-1) is a factor of p(x) then

p(1) = 0

=> k(1)²-3×1 + k = 0

=> 2k - 3 = 0

=> 2k = 3

=> k = 3/2

Therefore,

Value of k = 3/2

••••

Answer 2

According to the Question

p(x) = kx² - 3x + k

If (x - 1) is a factor of p(x)

Therefore

x - 1 = 0

x = 1

Substitute the value of x in Equation

⇒ k(1)² - 3 × 1 + k = 0

⇒ 2k - 3 = 0

⇒ 2k = 3

⇒ k = $\bf\huge\frac{3}{2}$