How do you solve the polynomial #24x^2-4x=0#? Algebra Polynomials and Factoring Zero Product Principle 1 Answer maganbhai P. Jul 31, 2018 #x=0 or x=1/6# Explanation: Here, #p(x)=24x^2-4x and x=0# #=>p(0)=24(0)-4(0)=0# So, factoring we get #24x^2-4x=0# #:.4x(6x-1)=0# #:.4x=0 or 6x-1=0# #:.x=0 or 6x=1# #:.x=0 or x=1/6# 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 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#? How do you solve #(2m + 3)(4m + 3) = 0#? See all questions in Zero Product Principle Impact of this question 3978 views around the world You can reuse this answer Creative Commons License