math
posted by marissa on .
Find a polynomial f(x) with leading coefficient 1 and having the given degree and zeros.
Each polynomial should be expanded from factored form, simplified and written in descending order of exponents on the variable.
For example: (x+5)(x2) should be given as the answer x^2 + 3x  10
degree 4; zeros 3, 1, 3, 5
please help!

X = 3, X+3 = 0.
X=1, X1 = 0.
X=3, X3 = 0.
X=5, X5 = 0.
(X+3)(X1)(X3)(X5)= 0,
(X^2+2X3)(X^28X+15) = 0,
X^48X^3+15X^2+2X^316X^2+30X3X^2+24X45,
Combine liketerms and get:
X^46X^34X^2+54X45 = 0.