Question

Write a polynomial of least degree with roots 4 and -4



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4.

Answer 1

4 and -4 are roots/solutions, so you have to do the inverse, which is to write a polynomial.

x=4 is (x-4)

and

x=-4 is (x+4)

Multilply (use FOIL): (x+4)(x-4), and that's the polynomial.

Answer 2

polynomial is for example:
\[ (x-4)(x+4) = x^2+4x-4x-16 = x^2-16\]