Math - Real number system

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Solve the following equation in the real number system. Please show all of your work.

x^4 + 6x^3 + x^2 - 24x - 20 = 0

Help!!!!

  • Math - Real number system -

    Let f(x)=x^4+6x^3+x^2-24x-20
    Real roots are looking for among
    +-1,+-2,+-4,+-5,+-10,+-20
    f(-1)=1-6+1+24-20=0
    Divide f(x) by (x+1):
    f(x)=(x+1)(x^3+5x^2-4x-20)
    Let g(x)=x^3+5x^2-4x-20
    g(-5)=-125+125+20-20=0
    Divide g(x) by (x+5):
    g(x)=(x+5)(x^2-4)

    f(x)=(x+1)(x+5)(x+2)(x-2)

  • Math - Real number system -

    what is 2/5 in the real number system

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