f(x) = x4 − 12x3 + 37x2 − 12x + 36

Consider the following function.

f(x) = x4 − 12x3 + 37x2 − 12x + 36

(a) Find all zeros of the function. (Enter your answers as a comma-separated list.

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1 Answer

f(x)=x^4-12x^3+36x^2+x^2-12x+36=x^2(x^2-12x+36)+x^2-12x+36=(x^2-12x+36)(x^2+1)=(x-6)^2(x^2+1). The zeroes are therefore: 6, i, -i.

by Top Rated User (1.1m points)

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