(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) =

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(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

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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
$-2$

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

Similar Questions

Factorise $x^{3}+2x^{2}-13x+10$.

From the following polynomials,find out which of them has $(x-1)$ as a factor:$x^{3}+6x^{2}-9x-14$

Write the following cube in expanded form: $(3a + 5b)^3$.

Factorise the expression: $\frac{x^{2}}{4}+\frac{3 x y}{5}+\frac{9 y^{2}}{25}$

Factorise $x^{3}+12 x^{2}+39 x+28$.

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From the following polynomials,find out which of them has $(x-1)$ as a factor:
$x^{3}+6x^{2}-9x-14$