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For what value of m is 2x^3+mx^2+11x+m+3...

For what value of m is `2x^3+mx^2+11x+m+3` exactly divisible by (2x-1) ?

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

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  2. for what value of k is y^3+ky+2k-2 exactly divisible by (y+1) ?

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  3. For what value of m is 2x^3+mx^2+11x+m+3 exactly divisible by (2x-1) ?

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  4. Find the value of a if 2y + 3 is a factor of 2y^3+9y^2-y-a.

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  5. Find the value of k if x -1 is a factor of k^2x^3 - 4kx + 4k - 1.

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  6. For what value of a is the polynomial 2x^4 -ax^3 + 4x^2 + 2x + 1 is di...

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

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  8. Find the value of a if x + a is a factor of x^4 - a^2x^2 + 3x - a.

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  9. Using factor theorem, show that a - b is the factor of a(b^2 -c^2)+ b(...

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  10. Factorise x^2 + 5x + 6

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  11. Using factor theorem, factorize the polynomial x^2 -7x + 12.

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  12. Using factor theorem, factorize the polynomial x^2 - 5x -6.

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  13. Find the remainder when x^51 + 51 is divided by x + 1.

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  14. Factorise : x^3 -10x^2 - 53x -42.

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  15. Factorise : x^3+13x^2+31x-45.

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  16. Factorise : y^3 - 2y^2 - 29y - 42.

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  17. Use the suitable identity to find the following product : (x + 4) (x +...

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  18. Use the suitable identity to find the following product : (x + 8) (x ...

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  19. Use the suitable identity to find the following product : (3x + 4) (3x...

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  20. Use the suitable identity to find the following product : (y^2+3/2)(y^...

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