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Divide 44(x^4 – 5x^3 – 24x^2) by 11x (x ...

Divide `44(x^4 – 5x^3 – 24x^2) by 11x (x – 8)`

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Work out the following divisions: 44(x^4-5x^3-24x^2) -: 11x(x-8)

Divide 3x^2 -x^3- 3x+ 5 by x-1-x^2 , and verify the division algorithm.

Determine the intervals in which the function f(x) = x^4 - 8x^3 + 22 x^2 - 24 x + 21 is decreasing or increasing.

Identify like terms in the following – xy^2, – 4yx^2, 8x^2, 2xy^2, 7y, – 11x^2, – 100x, – 11yx, 20x^2y, – 6x^2, y, 2xy, 3x

Find the remainder when x^4 + x^3 -2x^2 + x + 1 is divided by x -1.

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Find intervals in which the function given by f(x) = (3/10)x^4 - (4/5)x^3 - 3x^2 + (36/5)x + 11 is increasing.

Find intervals in which the function given by f(x) = (3/10)x^4 - (4/5)x^3 - 3x^2 + (36/5)x + 11 is decreasing.

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PSEB-FACTORISATION-EXERCISE
  1. Divide 44(x^4 – 5x^3 – 24x^2) by 11x (x – 8)

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  2. Find the common factors of the given terms : 12x, 36

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  3. Find the common factors of the given terms : 2y, 22xy

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  4. Find the common factors of the given terms : 14 pq, 28p^2q^2

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  5. Find the common factors of the given terms : 2x, 3x^2, 4

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  6. Find the common factors of the given terms : 6 abc, 24ab^2, 12 a^2b

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  7. Find the common factors of the given terms : 16 x^3, – 4x^2, 32x

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  8. Find the common factors of the given terms : 10 pq, 20qr, 30rp

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  9. Find the common factors of the given terms : 3x^2 y^3, 10x^3 y^2,6 x^...

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  10. Factorise the following expressions : 7x – 42

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  11. Factorise the following expressions : 6p – 12q

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  12. Factorise the following expressions : 7a^2 + 14a

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  13. Factorise the following expressions : – 16 z + 20 z^3

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  14. Factorise the following expressions : 20 l^2 m + 30 a l m

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  15. Factorise the following expressions : 5 x^2 y – 15 xy^2

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  16. Factorise the following expressions : 10 a^2 – 15 b^2 + 20 c^2

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  17. Factorise the following expressions : – 4 a^2 + 4 ab – 4 ca

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  18. Factorise the following expressions : x^2 y z + x y^2z + x y z^2

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  19. Factorise the following expressions : a x^2 y + b x y^2 + c x y z

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  20. Factorise : x^2 + x y + 8x + 8y

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  21. Factorise : 15 xy – 6x + 5y – 2

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