What is the standard form of # y= (2x+14)(x-7)#?

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Answer 1 · 2016-12-23T13:30:07

#y = 2x^2 - 98#

or

#y = 2x^2 + 0x - 98#

To transform this equation to the standard form we must cross multiply each term in the right parenthesis by each term in the left parenthesis:

#y = (color(red)(2x) * color(blue)(x)) + (color(red)(2x) * color(blue)(-7)) + (color(red)(14) * color(blue)(x)) + (color(red)(14) * color(blue)(-7))#

#y = 2x^2 - 14x + 14x - 98#

We can now group like terms:

#y = 2x^2 color(green)(- 14x + 14x) - 98#

#y = 2x^2 color(green)(- 0) - 98#

#y = 2x^2 - 98#