Question

What is a quartic function with only the two real zeros given?

x = -4 and x = -1

A. y = x^4 + 5x^3 + 5x^2 + 5x + 4

B. y = x^4 - 5x^3 - 5x^2 - 5x - 4

C. y = -x^4 + 5x^3 + 5x^2 + 5x + 4

D. y = x^4 + 5x^3 + 5x^2 + 5x - 5

Answer 1

off x = -4 and x = -1
what do you think are the equation for those 2 fellows?

Answer 2

no idea..

Answer 3

ok, if I had a function like say => (x + 3)(x-5)
what do you think are the roots for that?

Answer 4

no idea lol, i have no idea what im at here.

Answer 5

http://www.youtube.com/watch?v=rP-__zFngio

Answer 6

but i have two x's not an equation..?

Answer 7

yes, but you can get the equation from those roots, thus

Answer 8

If I want a polynomial function to have a root of x=1, then it needs to have a factor of x-1.

If I want an equation to have a twice-repeated root of x=1, then it needs to have two factors of x-1, that is, (x-1)^2

And so on..... if c is a root, then x-c is a factor.