Question

2x2 – 4x + 6 in the form  p(x – q)2 + r where p, q and r are constants to be found.      

(b) Hence state the least value of  2x2 – 4x + 6 and the value of x at which this occurs.     

A) 

p= 2 ,q=-1 , r= - 4

 x=1

B) 

p= 1 ,q=2 , r=4

 x=2

C) 

p= 2 ,q=1 , r= –8
 x=1

D) 

p= -2 ,q=1 , r=8

 x=-1

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Answer 1

Answer:

The expression 2x³+ px² + qx – 30

has a factor x+2 and leaves a remainder of –35 when divided by

2x –1. Find the value of p and of q. 

             A) 

P = 14 , q=3

B) 

P= 12 q = 3

C) 

P =5 , q =-13

D) 

P=15 , q =3