write a function for h(x) includes the same zeros from f(x) and g(x) and an additional zero at 4. Please write in factored form in numerical order.

Question

Given      and       , write a function for h(x) includes the same zeros from f(x) and g(x) and an additional zero at 4.

Please write in factored form in numerical order.

h(x)=

Answer 1

g(x) = (x-10)(x+2) with zeroes at 10 and -2

f(x) = (x+1) with zero at -1

h(x) = (x+1)(x-10)(x+2)(x-4) with zeroes at -1,10,-2 and 4