Question

Find all roots
y = 3x³ - 7x² − 14x + 24

Answer 1

`x=-2, x=(4)/(3), x = 3`

Explanation:

First, factor it.

`(x+2)(3x-4)(x-3)=0`

Use the Zero Factor Principle and equate them each to 0.

`x+2=0\\x=-2\\\\3x-4=0\\x=(4)/(3)\\\\x-3=0\\x=3`

This is how you find the roots of
`3x^3-7x^2-14x+24`.