Question

Complete the steps to identify all potential rational roots of f(x) = 3x2 – x – 4. Values of p are factors of ✔ -4 . Values of q are factors of ✔ 3 Select all of the potential roots. \pm 4/3 \pm 2/3 \pm 3/4 \pm 2 \pm 4 \pm 3/2 I need help with the second one please <3 Thanks

Answer 1

-1 and 4/3

Explanation:

Given the quadratic equation;

f(x) = 3x^2-x-4

To get all potential roots, we will equate f(x) = 0

3x^2-x-4 = 0

3x^2-4x+3x-4 = 0

x(3x-4)+1(3x-4) = 0

(x+1)(3x-4) = 0

x+1= 0 and 3x-4 = 0

x = -1 and 3x = 4

x = -1 and x= 4/3

Hence the potential roots are -1 and 4/3