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What must be added to x^4+2x^3-2x^2+x-1 ...

What must be added to `x^4+2x^3-2x^2+x-1` so that the result is exactly divisible by `x^2+2x-3.`

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Hence, `-x+2` should be added to make it exactly divisible.
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RD SHARMA-FACTORIZATION OF POLYNOMIAL-All Questions
  1. If f(x)=x^4-2x^3+3x^2-a x+b is a polynomial such that when it is divid...

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  2. What must be subtracted from 4x^4-2x^3-6x^2+x-5 so that the result is...

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  3. What must be added to x^4+2x^3-2x^2+x-1 so that the result is exactly ...

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  4. f(x)=x^3-6x^2+11 x-6;g(x)=x-3

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  5. f(x)=3x^4+17 x^3+9x^2-7x-10 ;g(x)=x+5

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  6. check whether g(x) is a factor of f(x) or not f(x)=x^5+3x^4−x^3−3x^2+...

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  7. f(x)=x^3-6x^2-19 x+84 ,\ g(x)=x-7

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  8. f(x)=3x^3+x^2-20 x+12 ,\ g(x)=3x-2

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  9. Using the remainder theorem, find out whether g(x) is factor of f(x) o...

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  10. f(x)=x^3-6x^2+11 x-6,\ g(x)=x^2-3x+2

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  11. Show that (x-2),(x+3) and (x-4) are factors of x^3-3x^2-10x+24.

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  12. Show that (x+4),\ (x-3)a n d\ (x-7) are factors of x^3-6x^2-19 x+84

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  13. For what value of a is (x-5) a factor of x^3-3x^2+a x-10 ?

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  14. Find the value of a such that (x-4) is a factor of 5x^3-7x^2-a x-28

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  15. Find the value of a , if x+2 is a factor of 4x^4+2x^3-3x^2+8x+5a

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  16. Find the value of k if x-3 is a factor of k^2x^3-k x^2+3k x-k

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  17. Find the values of a and b, if x^2-4 is a factor of ax^4+2x^3-3x^2+bx-...

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  18. Find alpha\ a n d\ beta , if x+1\ a n d\ x+2 are factors of x^3+3x^2-2...

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  19. Find the values of p\ a n d\ q so that x^4+p x^3+2x^2-3x+q is divisibl...

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  20. Find the values of a\ a n d\ b so that (x+1)a n d\ (x-1) are factors o...

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