anonymous one year ago Need some division help!! will medal!

1. anonymous

(4x^2 +15x + 11) ÷ (x+3)

2. anonymous

what is the quotient and the remainder?

3. anonymous

@mathmath333 @mathstudent55 @paki @Elsa213 @ashleyz

4. anonymous

you can use synthetic division

5. anonymous

How would I go about that?

6. anonymous

|dw:1435008549290:dw|

7. anonymous

Okay. I've never seen that before.

8. anonymous

Since it is x+3 you put -3 in the left hand corner and then place the coefficients next to it.

9. anonymous

Okay I have to find the quotient and the remainder, mind walking me through that?

10. anonymous

then you bring down the first term and multiply it by the term in the left hand corner|dw:1435008766130:dw|

11. anonymous

do you follow me?

12. anonymous

I'm following so far

13. anonymous

ok then subtract that column|dw:1435008942620:dw|

14. anonymous

Okay

15. anonymous

then repeat by multiplying the new term you got by the left hand corner then combine that term to the next number in the column.|dw:1435009233228:dw|

16. anonymous

Okay so now can you tell me the quotient and remainder for this problem?

17. anonymous

When you run out of terms the last number is the remainder over binomial divisor. In this case the quotient is 4x+3x remainder (2/x+3)

18. anonymous

Okay that makes sense. thank you !

19. anonymous

no problem! :)

20. LynFran

|dw:1435019633675:dw|

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