If x140-2 x151-k is divisible by x-1 then the value of - k - is-A- 3 B- 1C- -1D- 22

The correct option is B 1Let f(x) = nbsp;x^140+2x^151+k. Since f(x) nbsp;is divisible by x+1, f( 1) = 0. Putting x = 1 nbsp;in the given expression, ...

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Standard IX

Mathematics

Factor Theorem

If x140+2 x15...

Question

$If x^{140} + 2 x^{151} + k is divisible by x + 1, then the value of ‘k’ is:$

- 1

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2^{2}

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3

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Solution

The correct option is D $1$
$Let f (x) = x^{140} + 2 x^{151} + k .$

$Since f(x) is divisible by x+1, f (- 1) = 0.$

$Putting x = -1 in the given expression, we get (- 1)^{140} + 2 (- 1)^{151} + k = 0 \Rightarrow 1 - 2 + k = 0 \Rightarrow k = 1$

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If x140+2x151+k is divisible by x+1,then the value of ‘k’ is:

The correct option is D 1Let f(x)=x140+2x151+k. Since f(x) is divisible by x+1, f(−1)=0. Putting x = -1 in the given expression, we get(−1)140+2(−1)151+k=0⇒1−2+k=0⇒k=1

$If x^{140} + 2 x^{151} + k is divisible by x + 1, then the value of ‘k’ is:$

The correct option is D $1$
$Let f (x) = x^{140} + 2 x^{151} + k .$

$Since f(x) is divisible by x+1, f (- 1) = 0.$

$Putting x = -1 in the given expression, we get (- 1)^{140} + 2 (- 1)^{151} + k = 0 \Rightarrow 1 - 2 + k = 0 \Rightarrow k = 1$