(A) Let $p(x) = 2x^2 + kx$.If $(x+1)$ is a factor of $p(x)$,then by the Factor Theorem,$p(-1) = 0$.Substituting $x = -1$ into the polynomial:$p(-1) =

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

(A) Let $p(x) = 2x^2 + kx$.If $(x+1)$ is a factor of $p(x)$,then by the Factor Theorem,$p(-1) = 0$.Substituting $x = -1$ into the polynomial:$p(-1) = 2(-1)^2 + k(-1) = 0$$2(1) - k = 0$$2 - k = 0$$k = 2$.Therefore,the correct option is $A$.

Class 9 Mathematics Polynomials Mix Examples - Polynomials

Easy

If $x+1$ is a factor of the polynomial $2x^2+kx$,then the value of $k$ is

A
$2$
B
$-3$
C
$4$
D
$-2$

Explore More

Browse All

Question Bank

All Subjects

Class 9 Questions

Class 9

Mathematics Questions

Chapter

Polynomials

Subtopic

Mix Examples - Polynomials

State whether the following statement is true or false:
The zero of the polynomial $2x + 3$ is $\frac{3}{2}$.

Easy

View Solution

Factorise the following expression: $27 x^{3}-64-108 x^{2}+144 x$

Easy

View Solution

The coefficient of $x$ in the expansion of $(x+3)^{3}$ is

Easy

View Solution

Is the following expression a polynomial? Justify your answer: $1-\sqrt{5x}$

Easy

View Solution

If $x^{2}-8x-20=(x+a)(x+b),$ then $ab=\ldots \ldots \ldots$

Easy

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

If $x+1$ is a factor of the polynomial $2x^2+kx$,then the value of $k$ is

Similar Questions

State whether the following statement is true or false:The zero of the polynomial $2x + 3$ is $\frac{3}{2}$.

Factorise the following expression: $27 x^{3}-64-108 x^{2}+144 x$

The coefficient of $x$ in the expansion of $(x+3)^{3}$ is

Is the following expression a polynomial? Justify your answer: $1-\sqrt{5x}$

If $x^{2}-8x-20=(x+a)(x+b),$ then $ab=\ldots \ldots \ldots$

Vedclass Test Series

Exam Paper Generator

Online Exam Module

State whether the following statement is true or false:
The zero of the polynomial $2x + 3$ is $\frac{3}{2}$.