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

Question

6752 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-01-25T22:54:58

#y = 2x^2 + 5x - 12#

#y = (2x - 3)(x + 4)#

We can write it as follows:

#(2x - 3)(x + 4) = y#

#2x(x + 4) - 3(x + 4) = y#

#(2x)(x) + (2x)(4) - (3)(x) - (3)(4) = y#

#2x^2 + 8x - 3x - 12 = y#

#2x^2 + 5x - 12 = y#.Now, the equation is in its standard form.