Complete the square help

Derivative:

diff( 4*x^2+5*x+2, x )

Integral:

int( 4*x^2+5*x+2, x )

Limit:

limit( 4*x^2+5*x+2, x=0 )

I dont know if this helps but hope it does the calculator puleed it up that is one hear!

4x^2  + 5x + 2        factor out the 4

4(x^2 + (5/4)x + 1/2)

Take (1/2)  of 5/4  = (1/2)(5/4)  =  5/8.....square it  =  25/64.....add and subtract this within the parentheses

4 (x^2 + (5/4)x + 25/64 + 1/2 - 25/64)  simplify

4( x^2 + (5/4)x + 25/64  + 32/64  - 25/64)

4( x^2 + (5/4)x + 25/64  +  7/64)        factor the first three terms in the parenthses

4 [ (x + (5/8) )^2  + 7/64  ]       distribute the 4  over the terms inside the parentheses

4(x + (5/8) )^2  +  28/64

4 (x + (5/8) )^2 +  7/16