Question

If x-a is a factor of 2x2-MX+na,then prove that a=m-n/2

Answer 1

Given that ( x - a ) is the factor of 2x² - mx + na


So, x - a = 0
x = a




Then,

p( x ) => 2x² - mx + na = 0

p( a ) => 2( a )² - m( a ) + na = 0

= > 2a² - ma + na = 0

= > a( 2a - m + a ) = 0

=> 2a - m + n = 0

= > 2a = m - n

$= > a = \frac{m - n}{2}$



Hence, proved.