Answered

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find all of the zeros of p (x) = x^3-x^2+2, given that 1-i is a zero. (if there is more than one zero, separate them with commas.)

Find All Of The Zeros Of P X X3x22 Given That 1i Is A Zero If There Is More Than One Zero Separate Them With Commas class=

Sagot :

We have the next polynomial function

[tex]P(x)=x^3-x^2+2[/tex]

In order to find the zero we punt the function equal to zero

[tex]x^3-x^2+2=0[/tex]

We have a given zero that is 1-i

x=1-i

than means that we need the conjugate of the zero given is also a zero

x=1+i

and then we need a third zero because the polynomial has third-degree it can be calculated if we factorize the polynomial given

[tex]\mleft(x-1-i\mright)\mleft(x-1+i\mright)\mleft(x+1\mright)=0[/tex]

Therefore the zeros are

x=-1

x=1-i

x=1+i

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