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  1. S

    Polynomials (roots)

    Two of the roots of x3 - px2 - qx - 4 = 0 are 3 and 5. a.) Find the other root. b.) Find p and q Need help on this question. Thank you.
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    Polynomials (roots)

    Two roots of x3 + mx2 + 15x -7 = 0 are equal and rational. Find m. Would appreciate it if someone explained this to me. Thank you. :)
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    Polynomials

    If α, β and γ are the roots of the equation x3 + 5x - 4 = 0, evaluate α3 + β3 + γ3 Need help on this. Thanks!
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    Perms and coms

    A biased coin is weighted so that heads comes up twice as often as tails. Find the probability of tossing a tail. The answer is 1/3 Can someone explain me this? Thank you. :)
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    Confused with this question

    Find the value of n for which the equation (n + 2) x2+ 3x - 5 = 0 has one root triple the other. Would appreciate it if someone explains this to me. Thank you.
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    Cambridge 2 unit Locus and Parabola

    Need help! Thank you. This is question 12 from Exercise 11a A point P(x,y) moves so that its distance from the point K(2,5) is twice its distance from the line x = -1. Draw a diagram and find the equation of the locus. The answer in the textbook is 3x2 - y2 +12x + 10y -25 = 0...
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