## anonymous one year ago Divide. (2x^2+9x+11)÷(x+2) Your answer should give the quotient and the remainder.

1. Nnesha

long division or synthetic which one is easy for you ?

2. anonymous

tbh I'm just not good at math at all @Nnesha

3. Nnesha

alright you will be an expert one day :-) alight bec leading coefficient is one of the divisor so let's do synthetic that one is easy :-) for that we have to solve x+2 =0 for x x+2 =0 x= ?

4. anonymous

um x=-2 ?

5. sweetburger

|dw:1433773847743:dw|

6. sweetburger

it literally tells u to divide by x+2

7. sweetburger

otherwise you would just use the rational root theorem

8. Nnesha

yeah.. 1)then carry down first term 2) multiply by -2 3)combine like terms done! at the end just put variables exponent of variable should be one less from the original question just like that^^^^

9. Nnesha

and that's how you should write 'n answer $\huge\rm quotient + \frac{ remainder }{ divisor }$