Factor completely, or state that the polynomial is prime. x^2-2x+4

opatovaL

opatovaL

Answered question

2021-09-06

Factor completely, or state that the polynomial is prime.
x22x+4

Answer & Explanation

Nathalie Redfern

Nathalie Redfern

Skilled2021-09-07Added 99 answers

Consider the polynomials:
x22x+4
To factorize the given polynomials by using completing square method,
Add and substract by (1)2 in given polynomials,
x22x++4=x22x+4+(1)2(1)2
=(x1)2+3
Further solving it,
(x1)2+3=0
(x1)2=3
x1=±3
x1=±i3
x=1±i3
x=1+i3 and x=1i3

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