Question

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

Answer 1

Answer:

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

Step-by-step 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

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