How do you find the zeros of #y=3x^2+2x#? Algebra Polynomials and Factoring Zero Product Principle 1 Answer Alan N. Mar 5, 2017 #x=0# or #x=-2/3# Explanation: #y= 3x^2+2x# #= x(3x+2)# The zeros of #y# are those values of #x# such that #y=0# I.e. where #x(3x+2) =0# #:. x=0# or #3x+2=0# Hence: #x=0# or #x=-2/3# Answer link Related questions What is the Zero Product Principle? How to use the zero product principle to find the value of x? How do you solve the polynomial #10x^3-5x^2=0#? Can you apply the zero product property in the problem #(x+6)+(3x-1)=0#? How do you solve the polynomial #24x^2-4x=0#? How do you use the zero product property to solve #(x-5)(2x+7)(3x-4)=0#? How do you factor and solve #b^2-\frac{5}{3b}=0#? Why does the zero product property work? How do you solve #(x - 12)(5x - 13) = 0#? How do you solve #(2u+7)(3u-1)=0#? See all questions in Zero Product Principle Impact of this question 6594 views around the world You can reuse this answer Creative Commons License