Find a polynomial with leading coefficient 1 and degree 3 that has -1,1, and 3 as roots.?

Answer 1

(x+1) * (x-1) * (x-3)

which works out as

x^3 - 3 x^2 - x + 3

Answer 2

In general, the polynomial of degree n with leading coefficient a and roots r1,r2,...,rn is

a(x-r1)(x-r2)...(x-rn)

so in this case, the polynomial you're looking for is

1(x+1)(x-1)(x-3) = x^3 - 3x^2 - x + 3.

(i assume you meant roots of -1,1 and 3)

Answer 3

(x + 1)(x - 1)(x -3)