Find the value of ‘k’ if $(x - 1)$ is a factor of P(x) = 4 $x^{3}$ + $x^{2}$ – 3x + k.

-1

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Solution

The correct option is B
-2

Since x-1 is the factor of 4 $x^{3}$ + $x^{2}$ – 3x + k,

therefore at x = 1, P(x) = 0

$\Rightarrow$ 4 ${(1)}^{3}$ + ${(1)}^{2}$ – 3(1) + k = 0

i.e, 2 + k = 0

$\Rightarrow$ k = -2

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Similar questions

Find the value of ‘k’ if x -1 is a factor of P(x) = 4 $x^{3}$ + $x^{2}$ – 3x + k.

Q. Find the value of

k

, if

(x - 1)

is a factor of

p (x) = 4 x^{3} + x^{2} - 3 x + k

Find the value of ‘k’ if x -1 is a factor of P(x) = 4 $x^{3}$ + $x^{2}$ – 3x + k.

Q. Find the value of

k

, if

x - 1

is a factor of

p (x)

in each of the following cases:
(i)

p (x) = x^{2} + x + k

(ii)

p (x) = 2 x^{2} + k x + \sqrt{2}

(iii)

p (x) = k x^{2} - \sqrt{2} x + 1

(iv)

p (x) = k x^{2} - 3 x + k

Find the value of k, if x - 1 is a factor p(x) in each of the following cases:
(i) $p (x) = x^{2} + x + k$
(ii) $p (x) = 2 x^{2} + k x + \sqrt{2}$
(iii) $p (x) = k x^{2} - \sqrt{2} x + 1$
(iv) $p (x) = k x^{2} - 3 x + k$

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Find the value of ‘k’ if (x−1) is a factor of P(x) = 4x3 + x2 – 3x + k.

The correct option is B -2 Since x-1 is the factor of 4x3 + x2 – 3x + k, therefore at x = 1, P(x) = 0 ⇒ 4(1)3 + (1)2 – 3(1) + k = 0 i.e, 2 + k = 0 ⇒ k = -2

Find the value of ‘k’ if $(x - 1)$ is a factor of P(x) = 4 $x^{3}$ + $x^{2}$ – 3x + k.

The correct option is B
-2

Since x-1 is the factor of 4 $x^{3}$ + $x^{2}$ – 3x + k,

therefore at x = 1, P(x) = 0

$\Rightarrow$ 4 ${(1)}^{3}$ + ${(1)}^{2}$ – 3(1) + k = 0

i.e, 2 + k = 0

$\Rightarrow$ k = -2