How do you find all zeros of #f(x)=1/3x^2+1/3x-2/3#? Precalculus Polynomial Functions of Higher Degree Zeros 1 Answer Shwetank Mauria Jun 1, 2017 Zeros of #f(x)# are #x=1# and #x=-2#. Explanation: #f(x)=1/3x^2+1/3x-2/3=1/3(x^2+x-2)# = #1/3(x^2+2x-x-2)# = #1/3(x(x+2)-1(x+2))# = #1/3(x-1)(x+2)# Hence, zeros of #f(x)# are #x=1# and #x=-2#. 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 2384 views around the world You can reuse this answer Creative Commons License