How do you write in standard form #y = (x - 1)(5x + 2)#?

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1 Answer
Alan P.
Jun 24, 2015

Standard form: #y=5x^2-3x-2#

Explanation:

Standard form for a quadratic is
#color(white)("XXXX")##y =ax^2+bx+c# for constants #a, b, and c#

Multiplying #(color(red)(x)color(blue)(-1))(5x+2)#
as #color(red)((x))(5x+2)color(blue)( - 1)(5x+2)#
#= color(red)(5x^2+2x)color(blue)( - 5x -2)#
#=5x^2-3x-2#
allows us to rewrite the equation in this standard form.

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