How do you write a polynomial with zeros -5, 2, -2 and leading coefficient 1?

1 Answer
Dec 28, 2016

Answer:

See explanation.

Explanation:

If #a# is a zero of a polynomial, then it can be divided by #(x-a)#.
Using this law we can write the polynomial as a product of #x-a_i# for all zeros:

#W(x)=(x-(-5))xx(x-2)xx(x-(-2))=#
#(x+5)xx(x-2)xx(x+2)=#
#(x+5)xx(x^2-4)=x^3+5x^2-4x+20#