Given f(x)=x+2 & g(x)= x^(2)+4x-5 write a function for h(x) includes the same zeros from f(x) and g(x) and an additional zero at 9. Please write in factored form in numerical order. h(x)=

Question

Given      and       , write a function for h(x) includes the same zeros from f(x) and g(x) and an additional zero at 9.

Please write in factored form in numerical order.

h(x)=

Answer 1

f(x) = 0 when x+2=0 and x=-2, -2 is the zero, (x+2) is the factor

g(x) factors into (x+5)(x-1)

h(x) = (x-1)(x+2)(x+5)(x-9)

take a zero and change the sign, add to x to get the factor

zeroes are 1,-2,-5 and 9

factors just change the sign and stick x in front of each.

Answer 2

Just multiply f(x) and g(x) with an extra (x-9).

h(x) = (x+2)(x-9)(x²+4x-5) = (x-1)((x+2)(x+5)(x-9)

Not sure what they meant by numerical order, though.