Question

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

Answer 1

`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.