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Sunday, October 24, 2010

Polynomials Test

1. Complete the following statement about the factor theorem:
If f(b) = 0, ……………………………………..                                                                                         [1]

2a) The remainder when the expression x3 – 11x2 + kx – 30 is divided by x – 1 is 4 times the remainder when this expression is divided by x – 2. Find the value of the constant k.                                                               [4]


b) Solve the equation x3 – 4x2 – 8x + 8 = 0, expressing non-integer solutions in the form a ± √b, where a and b are integers.                                                                                                                               w07p1q8 [5]

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