How do you find a polynomial function that has zeros 0, -3? Precalculus Polynomial Functions of Higher Degree Zeros 1 Answer Alan N. Apr 2, 2017 #f(x) = x^2+3x# Explanation: We are told that polynomial, #f(x)# has zeros at #x=0# and #x=-3# #:. f(x) # has factors #(x-0)# and #(x+3)# Hence: #f(x) = x(x+3) -> x^2+3x# 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 2298 views around the world You can reuse this answer Creative Commons License