Science:Math Exam Resources/Courses/MATH110/December 2013/Question 06 (a)/Statement

Consider the function: $f(x)={\dfrac {e^{\left(x^{3}\right)}e^{\left(2x^{2}\right)}e^{x}}{e^{3}}}.$

(a) How many solutions are there to the equation $f(x)=0$? Justify your answer.