Question

the factor of x^2 -root2 x- 4 are​

Answer 1

The given expression:

$x^{2} -\sqrt{2} x-4$

We have to find the factors of the given expression.

Solution:

$x^{2} -\sqrt{2} x-4$

Split the middle term

$=x^{2} -2\sqrt{2} x+\sqrt{2} x-4$

= $x(x - 2\sqrt{2}) + \sqrt{2}(x - 2\sqrt{2})$

= $(x - 2\sqrt{2})(x + \sqrt{2})$

Thus, the factors of $x^{2} -\sqrt{2} x-4$ are $(x - 2\sqrt{2}) and (x + \sqrt{2})$.