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When a polynomial f(x) is divisible by x-3 and x+6, the respective remainders are 7 and 22. What is the remainder when f(x) is divided by (x-3)(x+6) ?

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The correct Answer is:
`-(5)/(3)x+12`
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NAGEEN PRAKASHAN-POLYNOMIALS-Exercise 2c
  1. Divide p(x) by g(x) in each of the following questions and find the qu...

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  2. Divide p(x) by g(x) in each of the following questions and find the qu...

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  3. Divide p(x) by g(x) in each of the following questions and find the qu...

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  4. Divide p(x) by g(x) in each of the following questions and find the qu...

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  5. In each of the following cases (Q.9-12), find whether g(x) is a factor...

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  6. In each of the following cases (Q.9-12), find whether g(x) is a factor...

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  7. In each of the following cases (Q.9-12), find whether g(x) is a factor...

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  8. In each of the following cases (Q.9-12), find whether g(x) is a factor...

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  9. Using remainder theorem, find the remainder when : (i) x^(3)+5x^(2)-...

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  10. Show that : (i) x-5, is factor of x^(2)-11x+30 " " (ii) (x+2, is...

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  11. Polynomials ax^(3)+3x^(2)-3 " and" 2x^(3)-5x+a when divided by (x-4) l...

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  12. Find the value of 'k' if : (i) x+5, is a factor of 2x^(3)+kx^(2)-11x...

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  13. Using factor theorem; factorize the polynomial x^3-6x^2+11x-6

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  14. If x^(2)+2x+3 is a factor of x^(4)+3px^(2)+2q, then find the value of ...

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  15. What should be subtracted from p(x)=6x^(4)+7x^(3)+26x^(2)-25x+25 so th...

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  16. When a polynomial f(x) is divisible by x-3 and x+6, the respective rem...

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  17. Evaluate : ((0.35)^(3)+(0.41)^(3)-(0.76)^(3))/(9(0.35)(0.41)(0.76))

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  18. Evaluate : (x^(1//3)+y^(1//3))(x^(2//3)-x^(1//3)y^(1//3)+y^(2//3)), wh...

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  19. Evaluate : x^(3)+3x-13, " if" x=root(3)(7+5sqrt(2))-(1)/(root(3)(7+5sq...

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  20. Find the greatest value of x, which satisfies the system of equations ...

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