Write the polynomials as the product of linear factors and list all the zeros of the function.h(x) = x^{3}-3x^{2}+4x-2

CheemnCatelvew

CheemnCatelvew

Answered question

2020-10-20

Write the polynomials as the product of linear factors and list all the zeros of the function.h(x)=x33x2+4x2

Answer & Explanation

sweererlirumeX

sweererlirumeX

Skilled2020-10-21Added 91 answers

Step 1 x33x2+4x2=0 Step 2 x1|x22x+2x33x2+4x2x3x22x2+4x2|2x2+2x2x2|(2x2) Step 3 x1|x22x+2x1(x22x+2)=0
x=b±b24ac2a
x=(2)±(2)24(1)(2)2(1)
x=1.1±i
f(x)=(x(1+i))(x(1i))(x1)

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