Q. 43.7( 3 Votes )

# Find the value of k if (x – 1) is a factor of the polynomial 2x^{2} + kx + √2

Answer :

Using Remainder Theorem:

Putting factor = 0, we get -

(x – 1) = 0

⇒ x = 1.

Now, ∵ it is given that (x – 1) is a factor of the polynomial 2x^{2} + kx + √2

⇒ If we substitute x = 1 in 2x^{2} + kx + √2, the remainder will be zero.

⇒ 2(1)^{2} + k(1) + √2 = 0

⇒ 2 + k + √2 = 0

⇒ k = – (2 + √ 2)

Rate this question :

How useful is this solution?

We strive to provide quality solutions. Please rate us to serve you better.

Related Videos

Polynomials - Zero to Hero42 mins

Genius Quiz | Polynomials40 mins

Zeros and Degrees of a Polynomial41 mins

Champ Quiz | Polynomials29 mins

Genius Quiz | Division of Algebraic Expressions37 mins

Introduction to Polynomials37 mins

Quiz | Imp. Qs. on Algebraic Identities65 mins

Basic understanding of Polynomials37 mins

Methods to find zeroes of a Polynomial-246 mins

Remainder Theorem and Factor Theorem38 mins

Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Expertsview all courses

Dedicated counsellor for each student

24X7 Doubt Resolution

Daily Report Card

Detailed Performance Evaluation