Question

Find the polynomial function with roots 1, –2, and 5

Answer 1

Could you solve this equation:
(x-3)(x+2)(x-6)=0?

Answer 2

@Lesha ????

Answer 3

yes i could (: x=3, x=-2 and x=6. right ?

Answer 4

Very good.

Answer 5

Now could you reverse the process? If I said, x = 3, x = -2 and x = 6, could you write the factors?

Answer 6

im not sure what that means ?

Answer 7

I said:
(x-3)(x+2)(x-6)=0
You correctly said that x=3, x=-2 and x = 6

Answer 8

So let's start at the end and go backwards:
x = 3, x = -2 and x = 6 so the equation must have been:
(x-3)(x+2)(x-6)=0

Answer 9

ok ii get that part.

Answer 10

now what ?

Answer 11

So according to your problem:
x=1, x = -2 and x = 5
So the equation must have been what?