00:01
We're given a function and we're asked to find the zeros of this function algebraically.
00:07
The function is f of x equals 4x cubed minus 24x squared minus x plus 6.
00:33
Notice that our function f is a polynomial in x and therefore the domain of f is all real numbers.
00:50
To find the zeros of our function, we want to solve the polynomial equation.
00:56
0 equals 4x cubed minus 24x squared minus x plus 6.
01:09
Just solve this polynomial equation, we want to factor this polynomial.
01:14
So we have, we'll use factor by grouping, 0 equals in grouping the first and third terms, we have x times 4x squared minus 1, and then we're going to group the second and fourth terms.
01:35
We will factor out a negative 6.
01:38
So we have minus 6 times 4x squared and then minus 1...