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Check whether g(x)=x^3-3x+1 is a factor ...

Check whether `g(x)=x^3-3x+1` is a factor of `f(x)=x^5-4x^3+x^2+3x+1` by applying the division algorithm.

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RD SHARMA-POLYNOMIAL-All Questions
  1. Apply division algorithm to find the quotient q(x) and remainder r(x) ...

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  2. Check whether g(t)=t^2-3 is a factor of f(t)=2t^4+3t^3-2t^2-9t-12 by ...

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  3. Check whether g(x)=x^3-3x+1 is a factor of f(x)=x^5-4x^3+x^2+3x+1 by ...

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  4. Check whether g(x)=2x^2-x+3 is a factor of f(x)=6x^5-x^4+4x^3-5x^2-x-1...

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  5. Obtain all zeros of the polynomial f(x)=2x^4+x^3-14 x^2-19 x-6 , if tw...

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  6. Obtain all zeros of f(x)=x^3+13 x^2+32 x+20 , if one of its zeros is -...

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  7. Obtain all zeros of the polynomial f(x)=x^4-3x^3-x^2+9x-6 , if two of ...

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  8. Obtain all zeros of the polynomial f(x)=2x^4-2x^3-7x^2+3x+6 , if its t...

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  9. What must be added to the polynomial f(x)=x^4+2x^3-2x^2+x-1 so that th...

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  10. What must be subtracted from the polynomial f(x)=x^4+2x^3-13 x^2-12 x+...

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  11. Find all zeros of the polynomial f(x)=x^4+x^3-34 x^2-4x+120 , if two o...

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  12. Find all zeros of the polynomial f(x)=2x^3+x^2-6x-3 , if two of its ze...

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  13. Find all zeros of the polynomial f(x)=x^3+3x^2-2x-6 , if two of its ze...

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  14. Define a polynomial with real coefficients.

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  15. Define degree of a polynomial.

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  16. Write the standard form of a linear polynomial with real coefficients.

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  17. Write the standard form of a quadratic polynomial with real coefficien...

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  18. Write the standard form of a cubic polynomial with real coefficients.

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  19. Define value of a polynomial at a point.

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  20. Define zero of a polynomial.

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