What are the zeroes of #f(x)=x(x+2)(x-3)#? Precalculus Polynomial Functions of Higher Degree Zeros 1 Answer Andrea S. Dec 1, 2016 #f(x)=0# for #x=0, x=-2, x=3# Explanation: #f(x)# is expressed as the product of factors, if any of its factors equal zero then #f(x) = 0#. So #f(x)=0#, if: #x = 0# or #(x+2)=0 => x=-2# or #(x-3)=0 => x=3# Answer link Related questions What is a zero of a function? How do I find the real zeros of a function? How do I find the real zeros of a function on a calculator? What do the zeros of a function represent? What are the zeros of #f(x) = 5x^7 − x + 216#? What are the zeros of #f(x)= −4x^5 + 3#? How many times does #f(x)= 6x^11 - 3x^5 + 2# intersect the x-axis? What are the real zeros of #f(x) = 3x^6 + 1#? How do you find the roots for #4x^4-26x^3+50x^2-52x+84=0#? What are the intercepts for the graphs of the equation #y=(x^2-49)/(7x^4)#? See all questions in Zeros Impact of this question 1097 views around the world You can reuse this answer Creative Commons License