Find the complex zeros of the following polynomial function. Write f in factored form. f(x)=x^3-12x^2+49x-58

Emeli Hagan

Emeli Hagan

Answered question

2021-09-16

Find the complex zeros of the following polynomial function. Write f in factored form.
f(x)=x312x2+49x58
The complex zeros of f are =?

Answer & Explanation

Szeteib

Szeteib

Skilled2021-09-17Added 102 answers

Step 1
Given: f(x)=x312x2+49x58
It can be written as,
f(x)=x32x210x2+20x+29x58
f(x)=x2(x2)10x(x2)+29(x2)
f(x)=(x2)(x210x+29)
Step 2
Roots of f(x) or zeroes of f(x) are given by (x2)(x210x+29)
x=2  of  x210x+29=0
x=2  of  x=10±1004(29)2=5±2i (complex zeroes)

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