Question

Write a polynomial function f of least degree that has rational coefficients , a leading coefficient of 1 and th given zeros .

1.) -7 , -4
2.) 1,2,5

Answer 1

is a is a zero then (x - a) is a factor... you need this idea to find the functions

so is simply a case for

1. f(x) = (x + 7)(x + 4)

2.f(x) = (x -1)(x -2)(x -5)

just distribute to get the polynomials...