Asked by sheila
Find the complex zeros of the polynomial function, and write f in factored form:
f(x)= x^3 - 8x^2 + 30x - 36
f(x)= x^3 - 8x^2 + 30x - 36
Answers
Answered by
Steve
any real roots will be 1,2,3,4,6,9,12,24,36
Since the inner coefficients are small, I'd start with small values. A little synthetic division yields
(x-2)(x^2 - 6x + 18)
Now just use the quadratic formula to find the complex roots.
Since the inner coefficients are small, I'd start with small values. A little synthetic division yields
(x-2)(x^2 - 6x + 18)
Now just use the quadratic formula to find the complex roots.
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