The value of $k$ for which for polynomial $2 x^{3} - x^{2} + 3 x - k$ is divisible by $(x - 1)$ is

1

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4

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Solution

The correct option is D $4$
$f (x) = 2 x^{3} - x^{2} + 3 x - k$
Divisor is (x-1)
Now, According to Remainder theorem,
$f (1) = 0 \Rightarrow 2 - 1 + 3 - k = 0$ or $k = 4$

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The value of k for which for polynomial 2x3−x2+3x−k is divisible by (x−1) is

The correct option is D 4f(x)=2x3−x2+3x−kDivisor is (x-1)Now, According to Remainder theorem, f(1)=0⇒2−1+3−k=0 or k=4

The value of $k$ for which for polynomial $2 x^{3} - x^{2} + 3 x - k$ is divisible by $(x - 1)$ is

The correct option is D $4$
$f (x) = 2 x^{3} - x^{2} + 3 x - k$
Divisor is (x-1)
Now, According to Remainder theorem,
$f (1) = 0 \Rightarrow 2 - 1 + 3 - k = 0$ or $k = 4$