Find the value of $k$, if $x - 1$ is a factor of $p(x)$ in this case: $p(x) = 2x^2 + kx + \sqrt{2}$.
- A$k = -2 - \sqrt{2}$
- B$k = -2 + \sqrt{2}$
- C$k = 2 - \sqrt{2}$
- D$k = 2 + \sqrt{2}$
Explore More
Similar Questions
Determine whether $(x + 1)$ is a factor of the polynomial $p(x) = x^{4} + x^{3} + x^{2} + x + 1$.
Medium
View SolutionFind the zero of the polynomial: $p(x) = x - 5$.
Easy
View SolutionExamine whether $x+2$ is a factor of $x^{3}+3x^{2}+5x+6$ and of $2x+4$.
Difficult
View SolutionWhat are the possible expressions for the dimensions of the cuboids whose volumes are given below? $\boxed{\text{Volume} : 3x^2 - 12x}$
Easy
View SolutionFactorise: $\frac{25}{4} x^{2}-\frac{y^{2}}{9}$
Easy
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo