Question

Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros. 1) -2, -1, 1

Answer 1

start with the zeros...
y = (x+2)(x+1)(x-1)

multiply out that right side....

Answer 2

Reverse solve for x for the zeroes.
x = -2
x + 2 = 0

x = -1
x + 1 = 0

x = 1
x - 1 = 0

f(x) = (x + 2)(x + 1)(x - 1)
Can you multiply it out?

Answer 3

f(x) = (x+2)(x+1)(x-1)
Multiply it out
See that putting -1,-1 or 1 in the abuv function gives 0

Answer 4

what about when im given i, 2 - √3