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What number should be added to 3x^3-5x^2...

What number should be added to `3x^3-5x^2+6x` so that when resulting polynomial is divided by x -3. the remainder is 8?

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The correct Answer is:
`-46`
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ICSE-REMAINDER AND FACTOR THEOREMS-Exercise 8A
  1. Find, in each case, the remainder when : (i) x^(4)- 3x^2 + 2x + 1 is...

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  2. Show that : (i) x -2 is a factor of 5x^2+ 15x- 50. (ii) 3x + 2 is ...

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  3. Use the Remainder Theorem to find which of the following is a factor o...

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  4. (i) If 2x + 1 is a factor of 2x^2+ ax- 3, find the value of a. (ii) ...

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  5. Find the values of constants a and b when x- 2 and x + 3 both are the ...

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  6. Find the value of k, if 2x +1 is a factor of (3k+2)x^3 + (k-1).

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  7. Find the value of a, if x -2 is a factor of 2x^5- 6x^4 -2ax^3+ 6ax^2+ ...

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  8. Find the values of m and n so that x-1 and x + 2 both are factors of x...

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  9. When x^3+2x^2-kx+4 . is divided by x - 2. the remainder is k. Find the...

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  10. Find the value of a, if the division of ax^3+ 9x^2 +4x -10 by x + 3 le...

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  11. If x^3+ ax^2+ bx + 6 has x -2 as a factor and leaves a remainder 3 whe...

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  12. The expression 2x^3+ ax^2+ bx -2 leaves remainder 7 and 0 when divided...

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  13. What number should be added to 3x^3-5x^2+6x so that when resulting pol...

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  14. What number should be subtracted from x^3 + 3x^2 - 8x + 14 so that on...

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  15. The polynomials 2x^3- 7x^2 + ax -6 and x^3-8x^2 +(2a + 1)x- 16 leave t...

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  16. If x-2 is a factor of the expression 2x^3+ax^2+bx - 14 and when the ex...

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  17. Find 'a' if the two polynomials ax^(3)+3x^(2)-9and2x^(3)+4x+a, leaves ...

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