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4.) Sketch a graph of a polynomial that would have:

a.) 7 real zeros

b.) 5 real and 2 complex zeros

c.) 4 complex zeros

d.) 2 complex and 4 real zeros

GAMEMASTERX40 Feb 10, 2019

#1**+2 **

a) We can make up whatever we want

For the first....a possibility is ( x - 3)^5 (x - 2)^2

[ We have repeated real zeroes, but the problem doesn't say that every zero has to be unique ]

The graph of this is here : https://www.desmos.com/calculator/td0qq1sakf

b) We can have

(x - 3) ( x + 3) ( x - 4) ( x + 4) (x + 6) ( x^2 + 1)

The graph of this is here : https://www.desmos.com/calculator/0f8x7e1irp

c) We can have

(x^2 + 1) ( x^2 + 3)

Graph : https://www.desmos.com/calculator/sqj7sk0rcf

d) We can have

(x^2 + 1) (x + 3) ( x - 3) ( x + 2) ( x - 2)

Graph : https://www.desmos.com/calculator/nyabj6mmtz

I hope these links work, GM !!!

CPhill Feb 10, 2019

#2**+1 **

Thanks so much, CPhill! I wouldn't even know how to make polynomial with 7 real zeros.

Also, can you help me solve this problem? https://web2.0calc.com/questions/working-together-formula-3

I got my work written down but I want to make sure of if it is correct.

-- 7H3_5H4D0W

GAMEMASTERX40 Feb 10, 2019