Find all zeros of the functionSolutionfx x4 8x3 3x2 to fi

Find all zeros of the function:

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

to find zeros of the function set function to zero

x^4 + 8x^3 + 3x^2 = 0

taking x^2 as gcf

x^2 ( x^2 + 8x + 3 ) = 0

set each factor to zero

x^2 = 0 , ( x^2 + 8x + 3 ) = 0

x^2 + 8x + 3 = 0

solving the quadratic equation

x = { - 8 + - sqrt ( 8^2 - 12 ) } / 2

x = - 4 + - sqrt (13 )

therefore, zeros of the function are

x = 0

x = - 4 + sqrt 13

x = -4 - sqrt 13