Question

If two zeroes of 2x4 - 3x3 - 3x2
+6x-2 are root 2 and root - 2. Find its factors
Just tell me if we have to follow the sme procedure as we follow to find zeroes or different and if different then what is it
And aren't zeroes the factors of the polynomial ​

Answer 1

Its factors are $x+\sqrt{2}$, $x-\sqrt{2}$, $2x-1$, $x-1$.

Yes, if you know the roots you can find the equation.

And yes, if you know the factor you can find the equation.

In case you still don't get it

$(x-\alpha )(x-\beta )=0$

- Two factors are

$x-\alpha$ and $x-\beta$.

- Two solutions are

$\alpha$ and $\beta$.