Question 825386
A general form for a polynomial in factored form is:
{{{f(x) = a(x-z[1])(x-z[2])}}}...
where "a" is the leading coefficient and the z's are the zeros of the polynomial. Using the given leading coefficient and the given zeros we get:
{{{f(x) = (1)(x-4)(x-2)(x-1)}}}<br>
All that is left is to multiply this out:
{{{f(x) = (x-4)(x-2)(x-1)}}}
{{{f(x) = (x^2-6x+8)(x-1)}}}
{{{f(x) = x^3-7x^2+11x-8}}}