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What must be subtracted from x^3-6x^2-15...

What must be subtracted from `x^3-6x^2-15 x+80` so that the result is exactly divisible by `x^2+x-12 ?`

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RD SHARMA ENGLISH-FACTORIZATION OF POLYNOMIAL-All Questions
  1. Find the remainder when p(x)=x^3-a x^2+6x-a is divided by (x-a)dot

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

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

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

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

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

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  9. Factorize 9z^3-27 z^2-100 z+300 , if it is given that (3z+10) is a fac...

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

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

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

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

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

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

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  16. Which of the following expressions are polynomials in one variable ...

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  17. Which of the following expressions are polynomials in one variable ...

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  18. Which of the following expressions are polynomials in one variable ...

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  19. Write the coefficient of x^2 in each of the following: (i) 17-2x+7...

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  20. Write the coefficient of x^2 in each of the following: (i) pi/6x^2...

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