How do you write #y=4(x+3/2)(3/4x+1/4)# in standard form?

1 Answer
May 29, 2017

#3x^2+11/2x+3/2=0#

Explanation:

First I would use the distributive law to expand the brackets, but for now ignore the 4.

So it becomes:
#4(3/4x^2+1/4x+9/8x+3/8)#

Then simplify everything in he brackets to become:
#4(3/4x^2+11/8x+3/8)#

Then times all 3 terms by 4, so it becomes:
#3x^2+11/2x+3/2#

Then simply add #=0# to finish in standard form.
#3x^2+11/2x+3/2=0#