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
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 !!!
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