Answer
The fundamental theorem of algebra is true with quadratic equation x^2-12x+12=-20 with zeros of 4 or 8.
A quadratic equation is an equation with the highest power of unknown to be 2. It is given in the form Ax^2+ Bx+ C= 0
finding the roots or zeros of the equation x^2-12x+12=-20 can be done by factorization method;
we equate the equation to zero by bringing -20 to the LHS .
x^2-12x+12+20=0
x^2-12x+ 32 = 0
find the factors of +32 that their sum will give -12
x^2-8x-4x+32=0
grouping the above equation
(x^2-8x)(-4x+32)= 0
x(x-8)-4( x-8)= 0
(x-4))(x-8) = 0
for the equation above to be true.
x-4=0 or x-8 = 0
: x=4 or x=8.
In conclusion, the algebra theorem is obeyed because the zeros of the equation are real numbers
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