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If the ratio of the respective remainder...

If the ratio of the respective remainders, when the polynomials `f(x)=2x^(4)+3x^(3)-x+kandg(x)=3x^(4)+2x^(3)+2kx-7` is divided by (x - 1), be 3 : 4, then prove that k = 11.

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CALCUTTA BOOK HOUSE-POLYNOMIALS-EXERCISE-1.3
  1. If f(x) = (x - 7) q(x) + r(x), where f(x)=x^(3)-7x^(2)+1 and r(x) = 1,...

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  2. What is the vital difference between identity and equation ?

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  3. What is meant by the root of an equation ? Find the root of the equati...

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  4. State and prove Remainder theorem.

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  5. Find the value of k when one of the roots of the equation of the polyn...

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  6. If the roots of the equation x^(3)+ax^(2)-bx-6=0 be -1 and 2, calculat...

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  7. If the roots of the equation of the polynomial f(x)=x^(3)+ax+b be -2 a...

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  8. If the root of the equation of the polynomial p(x)=8x^(3)-px^(2)-4x+2 ...

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  9. If the polynomial f(x)=2x^(3)+ax^(2)+bx-2 be divided by (2x - 3) and (...

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  10. If the polynomial p(x)=4x^(3)-px^(2)+x-q be divided by (x - 1) and (x ...

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  11. Using the remainder theorem proved that (2x - 1) is a factor of the po...

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  12. If the polynomials f(x)=ax^(2)-3x+5andg(x)=x^(2)-2x+2a be divided by (...

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  13. The remainders, when the polynomials f(x)=-ax^(2)+8x+5andg(x)=2x^(2)+x...

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  14. If the polynomial p(x)=x^(4)-3x^(3)+2x^(2)-ax+b be divided by (x - 1) ...

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  15. 0 and 4 are the respective remainders when the polynomial p(x)=x^(3)-p...

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  16. If the polynomials f(x)=x^(3)+kx-3andg(x)=x^(3)-kx^(2)+2 be divided by...

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  17. If the polynomials f(x)=x^(4)-aandg(x)=a-x^(4) be divided by x and -x ...

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  18. If the polynomials f(x)=2x^(3)+x-kandg(x)=3x^(3)+kx-1 be such that f(x...

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  19. If the ratio of the respective remainders, when the polynomials f(x)=2...

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  20. If the polynomial f(x)=x^(2)+kx-1 be divided by (x - 2) and (x - 3), t...

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