Question

write a polynomial function with the given zeros

Answer 1

-1,0,2

Answer 2

if a polynomial has a zero of a, b, and c, then we can find the polynomial function:

f(x) = (x-a)(x-b)(x-c)

and then we multiply it out to get the final polynomial function that isn't factored

Answer 3

for example, we have the roots of 5 and 6

that means the equation is:

f(x) = (x-5)(x-6)

then we have to multiply (x-5) and (x-6) to simplify it.

and if we use the FOIL method, we get:

f(x) = x^2 - 5x - 6x + 30
f(x) = x^2 - 11x + 30

Do you understand better with this example, now?

Answer 4

ya but how do i do it with 3 of the zeros??

Answer 5

first you multiply two of them together, and then you multiply the third one with what you got from multiplying the other two

for example

we got (x^2-11x + 30)

let's multiply this by (x-1)