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The polynomials f(x)=x^4-2x^3+3x^2-ax+b ...

The polynomials `f(x)=x^4-2x^3+3x^2-ax+b` when divided by (x-1) and (x+1) leaves remainder 5 and 19 respectively. Find the value of a and b hence, find the remainder when f(x) is divided by (x-2)

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MODERN PUBLICATION-POLYNOMIALS-EXERCISE
  1. The polynomials(ax^3+4x^2+3x-4) and (x^3-4x+a) when divided by (x-3) l...

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  2. The polynomials (ax^3+3x^2-13) and (2x^3-5x+a) when divided by (x+2) l...

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  3. The polynomials f(x)=x^4-2x^3+3x^2-ax+b when divided by (x-1) and (x+1...

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  4. The polynomal f(x)=ax^3+3x^2-3 and g(x)=2x^3-5x+a when divided by (x-4...

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  5. The polynomal f(x)=ax^3+3x^2-3 and g(x)=2x^3-5x+a when divided by (x-4...

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  6. The polynomal f(x)=ax^3+3x^2-3 and g(x)=2x^3-5x+a when divided by (x-4...

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  7. Prove that: (x-3) is a factor of x^3+x^2-17x+15.

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  8. Prove that: (x-1) is a factor of 2x^4+9x^3+6x^2-11x-6

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  9. Prove that: (x+5) is a factor of x^3+x^2+3x+115

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  10. Prove that: (x+3) is a factor of x^5+3x^4-x^3-3x^2

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  11. Prove that: (3x-2) is a factor of 3x^3+x^2-20x+12

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  12. Prove that: (x-1) is a factor of 2x^4+9x^3+6x^2-11x-6

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  13. Prove that: (x-sqrt2) is a factor of (7x^2-4sqrt2x-6)

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  14. Prove that: (x+sqrt2) is a factor of (2sqrt2x^2+5x+sqrt2)

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  15. Prove that: (x+1) and (2x-3) are factors of 2x^3-9x^2+x+12

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  16. Find the integral zeroes of the polynomial: p(x)=x^3+6x^2+11x+6

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  17. Find the value of k if: (x-k) is a factor of x^3-k^2x+x+2

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  18. Find the value of k if (x+3) is a factor of 3x^3+kx+6

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  19. Prove that (x^3-3x^2-13x+15) is exactly divisible by x^2+2x-3

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  20. Prove that (x-1) is a factor of x^10-1 and x^11-1

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