Question

Which of the following is a possible rational zero for the polynomial 3x3 + 5x2 - 4x + 4?
A. -3
B. 0
C. 2/3
D. 3/4

Answer 1

plug in the numbers for x and see if it makes the whole thing equal to zero

Answer 2

how do i plug it in for x ?

Answer 3

Recall that all rational zeros for a polynomial \(a_nx^n+\dots+a_0\) where \(a_0,\dots,a_1\) are integers of the form \(p/q\) where \(p\ |\ a_0\) and \(q\ |\ a_n\).

Answer 4

This is the rational roots theorem; essentially they must have a numerator that divides our constant (here \(4\)) and a denominator which divides our leading coefficient (here \(3\))... note that \(3\) has divisors \(\pm1,\pm3\) and \(4\) has divisors \(\pm1,\pm2,\pm4\).

Answer 5

Looking at our results, we see just one of the options has a numerator which divides \(4\) and a denominator which divides \(3\) -- option (D)

Answer 6

err option (C)

Answer 7

@zzr0ck3r it does not want roots, it wants *possible* roots

Answer 8

I c