Question

Please Help!!! I'll give a MEDAL to anyone who tries!!
How do you create a fourth-degree polynomial with only two real zeros. Demonstrate how to do this and explain your steps.

Answer 1

Those two zeros could repeat themselves twice.

So for instance you could have the two zeros: 5,7

but since each repeats twice, you really have these 4 zeros: 5,5,7,7

Answer 2

let me know if that's enough info to get started

Answer 3

I don't think i understand? @jim_thompson5910

Answer 4

you could easily have zeros repeat themselves

Answer 5

so if you had the four zeros 5,5,7,7

this would mean that

x = 5, x = 5, x = 7, x = 7

x-5=0, x-5=0, x-7=0, x-7=0

(x-5)(x-5)(x-7)(x-7) = 0


I'll let you expand that out

Answer 6

so would it also work if like for example we had (x+2)(x+2)(x+2)(x-5)? @jim_thompson5910

Answer 7

yes that would work as well

expand that out and tell me what you get