Answered

Welcome to Westonci.ca, where finding answers to your questions is made simple by our community of experts. Get immediate answers to your questions from a wide network of experienced professionals on our Q&A platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

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

We hope this was helpful. Please come back whenever you need more information or answers to your queries. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.