List all possible rational zeros for each polynomial function. 1. P(x)=3x^2-2x^2-5x-2 2. R(x)=12x^3-17x^2-27x+30

Question

List all possible rational zeros for each polynomial function.

1. P(x)=3x^2-2x^2-5x-2

2. R(x)=12x^3-17x^2-27x+30

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    2021-11-23T22:49:58+00:00

    For

     P(x)=3x^3-2x^2+5x-2

    all possible rational zeroes are all the possible factors of the constant term -2 express over coefficient of the term with the highest degree of the polynomial which is 3

    These are

    \frac{-1}{3}, \frac{1}{3},\frac{-2}{3}, \frac{2}{3}

    For

     R(x)=12x^3-17x^2-27x-30

    all possible rational zeroes are all the possible factors of the constant term -30 express over coefficient of the term with the highest degree of the polynomial which is 12

    These are

    \frac{-1}{12}, \frac{1}{12},\frac{-1}{6}, \frac{1}{6},\frac{-1}{4}, \frac{1}{4},\frac{-5}{12}, \frac{5}{12},\frac{-1}{2}, \frac{1}{2},\frac{-5}{6}, \frac{5}{6},\frac{-5}{4}, \frac{5}{4},\frac{-5}{2}, \frac{5}{2}

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