Question

Write a polynomial function in it's factored form with zeros 5, -1, and 2

Answer 1

`(x-5)(x+1)(x-2)`

Explanation:

well as a general case we have

when we say that

`x=y` it gives zero moving the y to the other side we have

`x-y=0`

so in our case

`\longrightarrow x-5=0\\\\\rightarrow x-(-1)=0\\\\\longrightarrow x+1=0\\\\\longrightarrow x-2=0`

just multiply the ones that have
`\longrightarrow`

and get

`(x-5)(x+1)(x-2)=0`