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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 reminder when f(x) is divided by (x-2)

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RD SHARMA-FACTORIZATION OF POLYNOMIAL-All Questions
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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. Let R1 and R2 are the remainders when the polynomials x^3+2x^2-5ax-7 a...

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  5. The polynomials a x^3+3x^2-13 and 2x^3-5x+a are divided by x+2, if the...

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

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  9. Find the remainder when p(x)=x^3-a x^2+6x-a is divided by (x-a)dot

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  10. Find the integral roots of the polynomial f(x) = x^3 + 6x^2 + 11x + 6

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  11. What must be subtracted from x^3-6x^2-15 x+80 so that the result is ex...

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

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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 2x^3+a x^2+3x-5 and x^3+x^2-4x+a leave the same rem...

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  16. In each of the following two polynomials, find the value of a , if x...

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  18. Using factor theorem, factorize each of the following polynomials : ...

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  19. Using factor theorem, factorize each of the following polynomials : ...

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