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If f(x)=x^4-2x^3+3x^2-a x+b is a polynom...

If `f(x)=x^4-2x^3+3x^2-a x+b` is `a` polynomial such that when it is divided by `x-1` and `x+1,` the remainders are respectively `5` and `19.` Determine the remainder when `f(x)` is divided by `(x-2)dot`

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RD SHARMA ENGLISH-FACTORIZATION OF POLYNOMIAL-All Questions
  1. The polynomials a x^3+3x^2-13 and 2x^3-5x+a are divided by x+2, if the...

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  2. Let R1 and R2 are the remainders when the polynomials x^3+2x^2-5a x-7 ...

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  3. 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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  4. Check whether the polynomial q(t)=4t^3+4t^2-t-1is a multiple of 2t+1

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  5. f(x)=x^3+4x^2-3x+10 ,\ g(x)=x+4 divide f(x) with g(x) and find the rem...

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  6. On dividing the polynomial f (x ) by the polynomial g (x ) find the re...

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  7. Find the remainder when P(x)-:G(x) (i)P(x)= 2x^4-6x^3+2x^2-x+2 ; G(x...

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  8. f(x)=4x^3-12 x^2+14 x-3,\ g(x)=2x-1 divide f(x) with g(x) and find the...

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  9. Find the remainder when f(x)=x 3 −6x 2 +2x−4 is divided by g(x)=1−...

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  10. Find the remainder when f(x)=x^4-3x^2+4 is divided by g(x)=x-2 is.

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  11. Find the remainder when f(x)=9x^3-3x^2+x-5, is divided by g(x)=x-2/3

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  12. f(x)=3x^4+2x^3-(x^2)/3-x/9+2/(27),\ g(x)=\ x+2/3 find the value of f(x...

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  13. If the polynomials a x^3+3x^2-13 and 2x^3-5x+a , when divided by (x-2)...

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  14. The polynomials a x^3+3x^2-3 and 2x^3-5x+a when divided by (x-4) leave...

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  15. If the polynomials a x^3+3x^2-13 and 2x^3-5x+a , when divided by (x-2)...

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  16. Find the remainder when x^3+3x^2+3x+1 is divided by (i) x+1 (ii) x...

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  17. Find the remainder when x^3+3x^2+3x+1 is divided by (i) x+1 (ii) x...

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  18. Show that (x-3) is a factor of the polynomial x^3-3x^2+4x-12

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  19. Show that (x-1) is a factor of x^(10)-1 and also of x^(11)-1.

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  20. Show that x+1 and 2x-3 are factors of 2x^3-9x^2+x+12

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