How do you write a polynomial equation of least degree given the roots -1, 1, 4, -4, 5? Precalculus Polynomial Functions of Higher Degree Zeros 1 Answer Alan P. Mar 5, 2018 #(x+1)(x-1)(x-4)(x+4)(x-5)=0# #color(white)("xxx")#...or, if you multiply the terms: #x^5-5x^4-10x^3+50x^2+16x-80=0# 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 4179 views around the world You can reuse this answer Creative Commons License