How do you write a polynomial with zeros: 0, 2, 5?

1 Answer
Feb 5, 2016

Answer:

#x^3-7x^2+10x#

Explanation:

A polynomial has a zero at a point #a# if #(x-a)# is a factor of the polynomial. Then, to create a polynomial with certain desired roots, we simply multiply the desired factors. In this case, that gives us

#(x-0)(x-2)(x-5) = x(x-2)(x-5)#

#=x(x^2-7x+10)#

#=x^3-7x^2+10x#