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Find the value of k, if x – 1 is a factor of p(x) in the following case:- p(x) = kx^2 – 3x + k - Mathematics

Find the value of k, if x – 1 is a factor of p(x) in the following case:-

p(x) = kx2 – 3x + k

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Solution

If x − 1 is a factor of polynomial p(x), then p(1) must be 0.

p(x) = kx2 − 3x + k

⇒ p(1) = 0

⇒ k(1)2 − 3(1) + k = 0

⇒ k − 3 + k = 0

⇒ 2− 3 = 0

⇒ k = 3/2

Therefore, the value of k is 3/2.

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APPEARS IN

NCERT Class 9 Mathematics Textbook
Chapter 2 Polynomials
Exercise 2.4 | Q 3.4 | Page 44
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