Education & Reference - 27 January 2007

Could anyone please help me out, with the full working out and solution to each problem. thanks

QUESTION 2) Use the remainder theorem to find the remainder when 2x^4 - x^2 + 3x - 2 is divided by (2x-1)

QUESTION 3) When x^4 + ax^2 + bx - 2 is divided by (x-1) the remainder is -2, and when it is divided by (x+1) the remainder is -6. Find the values of a and b.

QUESTION 5) The polynomial x^3 +px^2+6 is exactly divisible by (x+2) and (x-3). Find the values or p and q.

QUESTION 7) If x^3 + 4x^2 - 3x +2 = (x+1)(ax^2+bx+c) + d for all the values of x, find the values of a,b,c, and d.

QUESTION 8) If x^3 + 4x^2 - 12x + 14 = x^3 + (mx + n)^2 + 5 for all the values of x, find the values of m and n.

QUESTION 9) If x^2 = a(x+2)^2 + b(x+2) + c for all values of x, find the values of a,b,c.

THANKS HEAPS IN ADVANCE..

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