wnit2 Day4complexze.roTo factor a polynomial with complex solutions zeros completelywrite the linearization of the polynomial

amp write the linear factorization of the factors

Xt 2 X 2 3alinear qIadratic

So solve forX2 3 0131352 8

2 BY Ffs are the zeros

lihearfactoritatmif.x.INjB7fIIjBTfIf catz s a complex zero of PCX the conjugate s also a zero

Exampt PK 3 3 4 3 has a zero at i Find all

other Zeros then write the linear factorizationsince i is a zero

I l 3 Xy Ig i is a zero tool

t Tsn

EXample3_Phx 3 5 124 3 48 x Find all Zeros then

write the linear factorization3 424 3 48 0 4thdegreepolynomial in the form

X4 1 21C

3 10485106 0

fair ETuadratic trinomial16

3 1 74742 4 n4.4

t b t174 0 11214 0

315ozX O X 2i X I2i

i

Example 4 Find a polynomial of Phx with degree 3 andZeros at 1 2 and 3 i

3tiazero tooZeros X I m of 1

X 3 i m of I

stinnett tfactors ex E EX 3 ti x 3 i

EE 3 i xI3ti X 3 3 9 11

X 4412 6 10

X

Lx 6 10

2gp 3

z zi5 zx

SolvingPolynomialInequalitiescalculator INACTIVE

must be L Z E OGraph inequalities just like an equality

Greater than CGreater than orequal to z 0

3 YessssInman douai too ON

write answer in interval notation

Examplesi solve X 3 52 4 x 2020

I

5 7 4 20

X HS 4 x 15

x

if

Degree 3 positive 1Zeros x S m of I 1

yX 2 m of I µ

2 m of I f zoy int co 20