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Find the value of k, if x-1 is a factor ...

Find the value of k, if `x-1` is a factor of `4x^3+3x^2-4x+k`

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`x-1=0,x=1`
`4(1)^3+3(1)^2-4(1)+k=0`
`7-4+k=0`
`k=-3`
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RD SHARMA-FACTORIZATION OF POLYNOMIAL-All Questions
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  3. If x-a is a factor of x^3-3x^2a+2a^2x+b , then the value of b is 0 (b)...

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  7. When x^3-2x^2+a x-b is divided by x^2-2x-3, the remainder is x-6. The ...

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  8. One factor of x^4+x^2-20 is x^2+5. The other factor is x^2-4\ (b) ...

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  9. If (x-1) is a factor of polynomial f(x) but not of g(x) , then it mu...

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  10. (x+1) is a factor of x^n+1 only if  (a)n is an odd integer   (b) n i...

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  11. If x+2\ is a factor of x^2+m x+14 , then m= (a)7 (b) 2 (c) 9 (d) ...

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  12. If x-3 is a factor of x^2-a x-15, then a=

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  13. If x^2+x+1 is a factor of the polynomial 3x^3+8x^2+8x+3+5k , then th...

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  18. Find the value of k, if x-1 is a factor of 4x^3+3x^2-4x+k

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  19. If both x-2 and x-1/2 are factors of p x^2+5x+r , show that p=rdot

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