Question

Fond all the zeroes of 2x^4 - 3x^3-3x^2+6x-2, if you know that two of its zeroes are root2 and -root2

Answer 1

$\textbf{\huge{\underline{ Hello Mate! }}}$

What are zeros or roots?

The value of x which when kept in the polynomial gets p(x) final value "0".

Here, I have used long devision method to find roots.

$\textbf{ Formula used are: }$

$(x + y)(x - y) = {x}^{2} - {y}^{2}$

Secondly, we have used "spliting the middle term" method to find further factors.

$\bold{\large{ x = \sqrt{2} , - \sqrt{2} , 1 \: and \: \frac{1}{2} }}$

$\textbf{ Have great future ahead! }$