How do you divide (2x^3+7x^2-5x-4) / (2x+1)?

1 Answer
P dilip_k
Feb 28, 2016

(2x^3+7x^2-5x-4)/(2x+1)
=(x^2(2x+1)-x^2+7x^2-5x-4)/(2x+1)
=(x^2(2x+1)+6x^2-5x-4)/(2x+1)
=(x^2(2x+1)+3x(2x+1)-3x-5x-4)/(2x+1)
=(x^2(2x+1)+3x(2x+1)-8x-4)/(2x+1)
=(x^2(2x+1)+3x(2x+1)-4(2x+1))/(2x+1)

=x^2+3x-4

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