Question

the graph of each function is shown. write the function in factored format. do not include complex numbers

Answer 1

Notice that the graph passes through the point (-3,0), this means that the function f(x) has a root on x = -3. Then, we can use sintetic division to find the quotient of x+3 with f(x):

notice that on the last row, the last digit is 0, this means that the remainder is 0 and we can write f(x) in the following factored form:

`\begin{gathered} f(x)=x^3+5x^2+12x+18= \\ (x+3)(x^2+2x+6)_{} \end{gathered}`