What is the quotient (x3 + 3x2 + 5x + 3) ÷ (x + 1)?

asked Sep 3, 2019 48.7k views

5 votes

by Swalk

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3 votes

That would be x^2 + 2x + 3

5.6k points

3 votes

Answer:

$(x^3+3x^2+5 x+3)/(x+1)\\\\=(x^3+x^2+2x^2+2x+3x+3)/(x+1)\\\\=(x^2*(x+1)+2x* (x+1)+3* (x+1))/(x+1)\\\\=((x+1)(x^2+2x+3))/(x+1)\\\\=x^2+2x+3$

⇒Quotient =x²+2 x+3

Mooiamaduck answered Sep 9, 2019

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