Question

List all possible rational zeros

f(x) = x3 – 5x2 + 2x – 10. Then determine which, if any, are zeros.

Answer 1

x = 5

Explanation:

f(x) = x^3 – 5x^2 + 2x – 10

p/q, q must divide a_n=1 and p must divide a_0= -10

only 1 divide 1, q=1

1, 2, 5, 10 divide -10

possible rational roots:

1, 2, 5, 10

f(1) = -12

f(2) = -18

f(5) = 0

f(10) = 510

zeros: x = 5