Question

Help?
A fourth-degree polynomial has roots at –1 and 0, and a double root at 3.

Give a possible equation for the polynomial.

Answer 1

The Factor theorem states that if x=a is a root then (x-a) is a factor. So you have 4 roots given to you -1,0,3,3. Write all the factors of the polynomial and FOIL them two at a time until you get a polynomial of degree 4.

Answer 2

Can you tell me what the factors will be?

Answer 3

So, -1,0,-3,3

Answer 4

x = -1; x = 0, x = 3 and x = 3 are roots. can you write the factors now.

Answer 5

use the factor theorem

Answer 6

\[x^4+x^3-9x^2-9x\]