What is the standard form of # y= (2x-1)(3x+4)(2x+5)#?

1 Answer
Johnson Z. · George C.
Nov 29, 2015

#y=12x^3+40x^2+17x-20#

Explanation:

A cubic function can be expressed in standard form as:

#y=ax^3+bx^2+cx+d#

To write the equation in standard form, we have to expand the brackets:

#y=(2x-1)(3x+4)(2x+5)#
#y=(6x^2+8x-3x-4)(2x+5)#
#y=(6x^2+5x-4)(2x+5)#
#y=(12x^3+30x^2+10x^2+25x-8x-20)#
#y=12x^3+40x^2+17x-20#

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