What is the standard form of # y= (x-2)(3x+2)(-x+8)#?

1 Answer
Jim G.
Dec 10, 2017

#-3x^3+28x^2-28x-32#

Explanation:

#"expand the first 2 factors using FOIL then multiply the"#
#"result by the third factor"#

#(x-2)(3x+2)larrcolor(blue)"first 2 factors"#

#=3x^2+2x-6x-4#

#=3x^2-4x-4#

#rArr(3x^2-4x-4)(-x+8)larrcolor(blue)"multiply by third factor"#

#=-3x^3+24x^2+4x^2-32x+4x-32#

#=-3x^3+28x^2-28x-32larrcolor(blue)"in standard form"#

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