(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 Factorisation of 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
$-2$

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Polynomials

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Factorisation of Polynomials

Check whether $p(x)$ is a multiple of $g(x)$ or not:
$p(x) = 2x^3 - 11x^2 - 4x + 5, \quad g(x) = 2x + 1$

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

Medium

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Find the value of $k$,if $x - 1$ is a factor of $p(x)$ in this case: $p(x) = kx^2 - 3x + k$.

Medium

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$x-1$ is one of the factors of $p(x) = x^3 - 3x^2 + 7x - 5$. Which of the following is a factor of $p(x) = x^3 - 3x^2 + 7x - 5$?

Easy

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

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

Similar Questions

Check whether $p(x)$ is a multiple of $g(x)$ or not:$p(x) = 2x^3 - 11x^2 - 4x + 5, \quad g(x) = 2x + 1$

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

Find the value of $k$,if $x - 1$ is a factor of $p(x)$ in this case: $p(x) = kx^2 - 3x + k$.

$x-1$ is one of the factors of $p(x) = x^3 - 3x^2 + 7x - 5$. Which of the following is a factor of $p(x) = x^3 - 3x^2 + 7x - 5$?

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

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Check whether $p(x)$ is a multiple of $g(x)$ or not:
$p(x) = 2x^3 - 11x^2 - 4x + 5, \quad g(x) = 2x + 1$

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