4th degree polynomial function

Question

write the degree of the simplest 4th degree polynomial function with roots at 1 and 2 and a double root at x = 0

Answer 1

Hello Heather!

If we know the 4 roots of the polynomial, then we have all the information we need.

We can write the polynomial as:

(x-1)*(x-2)*x*x

Note that if I put x = 0,1 or 2, the polynomial goes to zero. The polynomial can be rewritten as:

(x² - 3x +2)*x²

x⁴ - 3x³ + 2x²