Question

What is the valur of p , if (x+1/2)is a factor of px square-4px+3

Answer 1

px² - 4px + 3

When we put x = - 1/2 we get 0 as resultant.

p ( - 1/2 )² - 4p ( - 1/2 ) + 3 = 0

p/4 + 2p + 3 = 0

( p + 8p + 12 )/4 = 0

9p = - 12

p = - 12 /9

p = -4 /3