## anonymous one year ago What is the remainder when (2x3 + 4x2 − 32x + 18) ÷ (x − 3)?

1. campbell_st

use the remainder theorem if$P(x) = 2x^3 +4x^2 -32x + 18$ and the divisor is (x - 3) the remainder can be found by calculating P(3)

2. anonymous

i got 2x2+10x

3. Nnesha

calculator is lying ;)

4. campbell_st

not quite the remainder $P(3) = 2(3)^3 + 4(3)^2 - 32(3) + 18$ what's the value...?

5. anonymous

54+36-96+18

6. campbell_st

the answer you posted is part of the quotient you don't need to do the division is x - 3 is the divisor the value that makes it equal to zero, that is x = 3 can be substituted into the polynomial to find the remainder

7. campbell_st

that's great so what is the value... ?

8. anonymous

12

9. anonymous

is the remainder

10. marihelenh

The remainder is $\frac{ 12 }{ x-3 }$

11. anonymous

Thanks<3

12. campbell_st

that's how I would write the remainder 12

13. anonymous

|dw:1437509835325:dw|

14. anonymous

Can you help solve this?

15. campbell_st

so you have a common denominator... just add the numerators.... by collecting like terms

16. campbell_st

|dw:1437509651709:dw|

17. anonymous

so x+3/x+5

18. anonymous

@campbell_st

19. campbell_st

You might want to post this as a new question... that way lots of people can view it and offer help

20. anonymous

KK as long as you're one of them, I'm fine