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The polynomials 3x^(3)-ax^(2)+5x-13 and ...

The polynomials `3x^(3)-ax^(2)+5x-13` and `(a+1)x^(2)-7x+5` leaves the same remainder when divided by x-3. Find the value of 'a'.

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The correct Answer is:
a=5
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ICSE-REMAINDER AND FACTOR THEOREMS-Exercise 8C
  1. The polynomials 3x^(3)-ax^(2)+5x-13 and (a+1)x^(2)-7x+5 leaves the sam...

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  2. Show that (x - 1) is a factor of x^(3)-7x^(2)+14x-8 Hence, completel...

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  3. Using Remainder Theorem, factorise : x^(3)+10x^2-37x+26 completely.

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  4. When x^(3)+3x^(2)-mx+4 is divided by x -2, the remainder is m + 3. Fin...

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  5. What should be subtracted from 3x^(3)-8x^(2)+4x - 3, so that the resul...

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  6. If (x + 1) and (x - 2) are factors of x^(3)+ (a + 1)x^2 -(b - 2) x-6, ...

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  7. If x= 2 is a factor of x^2+ ax + b and a +b =1. find the values of a a...

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  8. Factorise x^(3)+6x^(2)+11x+6 completely using factor theorem.

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  9. Find the value of 'm'. If mx^3+ 2x^2- 3 and x^2- mx+ 4 leave the same ...

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  10. The polynomial px^(3)+4x^(2)-3x+q completely divisible by x^2-1: find ...

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  11. Find the number which should be added to x^2+ x +3 so that the resulti...

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  12. When the polynomial x^(3)+2x^(2)-5ax-7 is divided by (x - 1), the rema...

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  13. (3x + 5) is a factor of the polynomial (a-1)x^(3)+(a+1)x^2-(2a+1)x-15....

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  14. When divided by x- 3 the polynomials x^3-px^2+x+6 and 2x^3-x^2-(p+3)x-...

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  15. Use the Remainder Theorem to factorise the following expression 2x^(3)...

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  16. Using remainder theorem, find the value of k if on dividing 2x^3+ 3x^2...

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  17. What must be subtracted from 16x^3- 8x^2+4x+7 so that the resulting ex...

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