Find an equation of a degree 3 polynomial (in factored form) with the given zeros of f(x): 2,3,-2. Assume the leading coefficient is 1.

Question

Find an equation of a degree 3 polynomial (in factored form) with the given zeros of f(x): 2,3,-2.  Assume the leading coefficient is 1.

Answer 1

f(x) = (x+2)(x-3)(x-2)

take each zero, change its sign, then stick an x in front of each, to get each of 3 factors

then multiply them together

x= 2 to -2 to x-2

x=3 to -3 to x-3

x=-2 to +2 to x+2

then multiply all 3 factors together