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23 September, 21:36

State the possible number of positive real zeros, negative realzeros, and imaginary zeros for each function.

13. f (x) = - x^3 - x2 + 14x - 24

14. f (x) = 2x^3 - x^2 + 16x - 5

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  1. 23 September, 23:34
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    In general, y = ax³ + bx² + cx + d

    Where a, b, c & d are real,

    Y can have at max 3 real roots, or one real and a conjugate pair of complex roots.

    Also, - d/a is the product of roots

    13) positive real values: 0 or 2

    negative real values: 1 or 3

    Imaginary roots: 0 or 2

    14) positive real values: 1 or 3

    negative real values: 0 or 2

    Imaginary roots: 0 or 2
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