Q. 43.7( 3 Votes )

# Find the value of k if (x – 1) is a factor of the polynomial 2x2 + kx + √2

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 2x2 + kx + √2

If we substitute x = 1 in 2x2 + 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 Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses