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A. Find the possible rational zeros of each polynomial function. Then, find the rational zeros.
1. P(x)=x²-7x-6

3. P(x) = 2x³-5x²-22x-15

5. P(x) = 8x³ + 34x²-81x + 18

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  1. for ax^2+bx+c, the possible rational roots are ±p/q where
    p is a factor of c
    q is a factor of a
    So, for #3, that makes the list
    ±1/1, ±3/1, ±5/1, ±15/1, ±1/2, ±3/2, ±5/2, ±15/2
    In fact, trying the easy ones first, we get
    2x^3 - 5x^2 - 22x - 15
    = (x+1)(2x^2-7x-15)
    and now you can factor the quadratic as usual.

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  2. For questions 3 and 5.

    In google pastee:

    polynomial factorisation emath help

    When you see list of results click on:

    Factoring Polynomials Calculator-eMathHelp

    When page be open in rectangle Enter a polynomial paste your function and click:
    CALCULATE

    You will see factirisation step-by-step

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