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Let R1 and R2 are the remainders when th...

Let `R_1` and `R_2` are the remainders when the polynomials `x^3+2x^2-5ax-7` and `x^3 + ax^2 -12x +6` are divided by `x+1` and `x-2` respectively. If `2R_1+R_2=6,` find the value of `adot`

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

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

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  5. If the polynomials ax^3+4x^2+3x-4 and x^3-4x+a leave the same remainde...

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

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  7. Find the remainder when p(x)=4x^2-2 x^2+14 x-3 is divided by g(x)=x-1/...

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

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

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  11. If x^3+a x^2-b x+10 is divisible by x^2-3x+2, find the values of a and...

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

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

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

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