How do you write a polynomial function with the given zeros 1, –2, and 5? Precalculus Polynomial Functions of Higher Degree Zeros 1 Answer Roy E. Jan 15, 2017 #x^3-4x^2-7x+10# Explanation: A polynomial with a zero at #x=a# has a factor #(x-a)#, so the required polynomial is: #(x-1)(x+2)(x-5)# #=(x^2+x-2)(x-5)# #=x^3-4x^2-7x+10# 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 13768 views around the world You can reuse this answer Creative Commons License