What is the standard form of # y= (x-12)(3x+2)(7x-4)#?

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Answer 1 · 2018-04-15T09:23:05

See a solution process below..

Recall the standard form formula is;

#Ax + By = c#

Where;

#A, B and C# are respective coefficients..

#y = (x - 12)(3x + 2)(7x - 4)#

Firstly, removing the brackets..

#y = [(x - 12)(3x + 2)](7x - 4)#

#y = [3x² + 2x - 36x - 24](7x - 4)#

#y = [3x² - 34x - 24](7x - 4)#

#y = 21x³ - 283x - 168 - 12x² + 136x + 96#

#y = 21x³ - 12x² - 283x + 136x - 168 + 96#

#y = 21x³ - 12x² - 147x - 72#

Rearranging the equation..

#21x³ - 12x² - 147x - y = 72#