## anonymous one year ago (2x^2+7x+11) / (x+2)

1. Nnesha

synthetic division or long division ? which one is easy 4 u?

2. anonymous

synthetic

3. SolomonZelman

long polynomial is my favorite one, because it is so like elementary and you can actually see how it is being divided.

4. SolomonZelman

$$\Huge_\text{__________}$$ $$x+2{\LARGE |}~2x^2~+~7x~+~11$$

5. Nnesha

alright so synthetic division x+2 is a divisor set it equal to 0 x+2 = 0 solve for x and write the coefficients bring the leading coefficient straight down |dw:1437593875598:dw| multiply by -2

6. Nnesha

x+2 =0 subtract 2 both sides x=-2

7. SolomonZelman

$$2x$$ $$\Huge_\text{__________}$$ $$x+2{\LARGE |}~2x^2~+~7x~+~11$$ $$2x^2~+~4x$$ $$\Huge^\text{_____}$$ $$3x~+~11$$

8. SolomonZelman

so you are dividing pretty much just like in algebra

9. SolomonZelman

$$2x~+~3$$ $$\Huge_\text{__________}$$ $$x+2{\LARGE |}~2x^2~+~7x~+~11$$ $$2x^2~+~4x$$ $$\Huge^\text{_____}$$ $$3x~+~11$$ $$3x~+~6$$ $$\Huge^\text{_____}$$ $$\color{red}5$$

10. Nnesha

|dw:1437594259817:dw| 1st) mulitply 2nd) put the result above the line 3rd) combine like terms