Use the quadratic formula:

x = [-b +/- sqrt(b^2 – 4ac)]/2a

The quadratic formula gives us the roots of a quadratic equation, so we can use it to find the factors of x^3-8.

First, we need to find b and c.

We can do this by setting up the quadratic equation and solving for b and c.

x^2 – 8x + 16 = 0

Then, plug in (1,16) as our a=1 and b=-8. We get c=16. So our quadratic equation looks like this:

(x-1)(x-16)=0

x^2 – 8x + 16 = 0 => x(x-1)(x-16)=0 => x(x-1)(16)=0 => (x-1)(16)=0 => x=1 or x=-16/2

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Last modified: August 17, 2022