Write a polynomial function of degree 7 that has the given zeros : 6 multiplicity 3,-4i, i

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x^7 - 18 x^6 + 125 x^5 - 522 x^4 + 1852 x^3 - 3960 x^2 + 1728 x - 3456

See Discussion for details.

Discussion:

The polynomial is

(x-6)^3 * (x-4i)(x+4i)(x-i)(x+i)   =

x^7 - 18 x^6 + 125 x^5 - 522 x^4 + 1852 x^3 - 3960 x^2 + 1728 x - 3456

Thank you,

MrB

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional

2, 2, 2 or -4, 20, 29

step-by-step explanation:

there is two ways you can do it.