How do you multiply #(x + 3) ( x - 2) ( x + 1) ( 2x + 3)#?

1 Answer
Mark D.
Apr 8, 2018

#2x^4+7x^3-4x^2-27x-18#

Explanation:

#(x+3)(x-2)# = #x^2-2x+3x-6# = #x^2+x-6#

(#x^2+x-6#)(#x+1#) = #x^3+x^2+x^2+x-6x-6#

=#x^3+2x^2-5x-6#

(#x^3+2x^2-5x-6#)(2x+3)

=#2x^4+3x^3+4x^3+6x^2-10x^2-15x-12x-18#

=#2x^4+7x^3-4x^2-27x-18#

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