What is the standard form of #y=(4x + 3)(x/2-5) #?

1 Answer
Jun 23, 2018

#y=2x^2-37/2x-15#

Explanation:

Let's use FOIL to simplify this problem and get rid of the parentheses:

#y=(4x+3)(x/2-5)#
#y=(4x)(x/2)+(4x)(-5)+(3)(x/2)+(3)(-5)#
#y=(4x^2)/2+(-20x)+3/2x+(-15)#
#y=2x^2-20x+3/2x-15#
#y=2x^2-37/2x-15#

Since we are in standard form (terms are in descending order based on their degrees), this is our answer.