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For what value of a is the polynomial 2x...

For what value of a is the polynomial `2x^4 -ax^3 + 4x^2 + 2x + 1` is divisible by 1 -2x?

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MBD-Polynomials-Exercise
  1. Find the value of a if 2y + 3 is a factor of 2y^3+9y^2-y-a.

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

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

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

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

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

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  7. Factorise x^2 + 5x + 6

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

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

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

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

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

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

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

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

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

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

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  18. Use the suitable identity to find the following product : (3 - 2x) (3 ...

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  19. Evaluate the following product without multiplying directly : 103xx107...

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  20. Evaluate the following product without multiplying directly : 95xx96.

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