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Find the remainder when x^51 + 51 is div...

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

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MBD-Polynomials-Exercise
  1. Using factor theorem, factorize the polynomial x^2 -7x + 12.

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

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

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

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

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

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

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

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

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

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

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

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

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  14. Evaluate the following product without multiplying directly : 104xx96.

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  15. Factorise the following using appropriate identities : 9x^2+6xy+y^2.

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  16. Factorise the following using appropriate identities : 4y^2-4y+1.

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  17. Factorise the following using appropriate identities : x^2-y^2/100.

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  18. Expand the following using suitable Identities : (x + 2y + 4z)^2.

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  19. Expand the following using suitable Identities : (2x-y+z)^2.

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  20. Expand the following using suitable Identities : (-2x + 3y + 2z)^2.

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