Question

Find the value of k,
if x-1 is a factor of p(x)=kx^2-3x+k
​

Answer 1

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 = $\bf\huge\frac{3}{2}$

Answer 2

$\mathbb{ \ \ A\ N\ S\ W\ E\ R\: \: }$

• p(x) = kx² - 3x + k

• If (x - 1) is a factor of p(x)

• x - 1 = 0
• x = 1

• k(1)² - 3 × 1 + k = 0
• 2k - 3 = 0
• 2k = 3
• k = 3/2