ALGEBRA. 2o 



127. Find the greatest numerical values without regard to 

 which the expression 



( x _ 8) ( x - 14) (x - 1 6) (x - 22), 

 can have for values of x between 8 and 22. 



1 28. If a > b, and c be positive, the greatest value which the. 



(x-a) (x-b)(x-a-c)(x-b + c), 

 can have for values of x between a and b is 



16 



129. 



x* - 2mx + p* p-m p + m 

 2mx+p* p + m p m 



1 30. The expression 



will be capable of all values whatever if 



e will be two values between which it cannot lie if 

 and two values between which it must lie if 



131. The 



(-)(* 



(-r)(* 



can have any real value whatever if both, or * two 



a, 0, lie between y and 8 : otherwise there will be two value* 

 between which it cannot 



