Question

Determine the value of' a 'for which the polynomial 4x⁴ -ax² +2x² +4x +3 is divisible by ‹1-2x²›​

Answer 1

put

$put \: 1 - 2 {x}^{2} = 0 \\ x = \frac{1}{ \sqrt{2} } \\ put \: the \: value \: of \: x \: in \: the \: equation \: and \: equate \: to \: 0$

you will get a=12