algebra 2

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List all possible rational zeros of each function.

f(x)=4x^5+4x^2-9

Find all rational roots of each function

f(x)=2x^3+x^2+8x+4

  • algebra 2 -

    second:
    x^2(2x+1)+4(2x+1)

    (2x+1)(x^2+4)
    (2x+1)(x+j)(x-j)

    so if the expression were equal zero, then
    zeroes are -1/2, -j,+j where j= sqrt(-1)
    so the only rational root is -1/2

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