Question

12. List the possible rational zeros of the function f(x) = 2" – 4.23 + 2x + 12A. +1, +2, +3, +4, +6, +12B. 1, 2, 3, 4, 6, 12C.-4. 1. 2. 12+1, +2, +4, +12D.

Answer 1

A

1) Given this function, let's work with that as a polynomial

$f(x)=x^5-4x^3+2x\text{ +12}$

2) According to the Rational Roots (zeros) Theorem we can write the divisor of the independent term: 12 and the divisors of the leading term:

Divisors of 12: 1, 2, 3, 4, 6, 12

Divisors of 1: 1

Writing this as quotient:

$\frac{\pm1,\pm2,\pm3,\pm4,\pm6,\pm12}{1}$

3) Hence, these are the possible zeros of that function/polynomial are on option A.

Note: We need to verify to state whether they are or not actual zeros.