Question

Find a polynomial of degree 4 that has integer coefficients and zeros 2, −2, 3, and
1/2
.

Answer 1

HELP ASAP

Answer 2

If a polynomial with integer coefficients has roots a, b, c, d, then the polynomial is
(x - a)(x - b)(x - c)(x - d)

Answer 3

x = a/b
bx = a
bx - a = 0
-a + bx = 0
a - bx = 0


The work above shows that if x = a/b is a root of the polynomial, then (a-bx) is a factor of the polynomial