How do you find all the zeros of # f(x) = (x + 3)(x – 1)(x – 5)#? Precalculus Polynomial Functions of Higher Degree Zeros 1 Answer Shwetank Mauria Mar 16, 2016 #{-3,1,5}# are zeros of #f(x)=(x+3)x-1)(x-5) Explanation: Zeros of #f(x)# are those values of #x#, which make #f(x)=0#. As #f(x)=(x+3)x-1)(x-5)#, #f(x)# will be zero, if #x+3)=0# or #x-1)=0# or #(x-5)=0# i.e. #x=-3# or #x=1# or #x=5# Hence, #{-3,1,5}# are zeros of #f(x)=(x+3)x-1)(x-5)# 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 1325 views around the world You can reuse this answer Creative Commons License