Divide using polynomial synthetic division.

(6x^3-7x+2) / (x-2)

Question

Divide using polynomial synthetic division.

(6x^3-7x+2) / (x-2)

anonymous · Answer

list the coefficients, don't forget to keep the place for the missing $x^2$ term

anonymous · Answer

the coefficients are 
      6      0      -7      2

anonymous · Answer

then put a 2 on the side 

      6      0      -7      2
2_________________

ammarah · Answer

yeah i got 6x^2+12x+17+36/2
but i didnt get a zero so im confused...

anonymous · Answer

bring down the 6
      6      0      -7      2
2_________________
    6

anonymous · Answer

oh ok
no reason to necessarily get no remainder
usually when you divide, there is a remainder, just like with numbers

ammarah · Answer

so my answer is correct?

anonymous · Answer

yes

anonymous · Answer

well almost
the remainder is not $\frac{36}{2}$ it is $\frac{36}{x-2}$

ammarah · Answer

oh yes

ammarah · Answer

could u please help me with this: Find the product:  (2x+3y)^3

anonymous · Answer

you only get zero if the polynomial factors exactly
you should not think you are wrong if you do not get a zero as a remainder

anonymous · Answer

$$ (2x+3y)^3=(2x+3y)(2x+3y)(2x+3y)$$ you can either grind it till you find it, or use 
$$(a+b)^3=a^3+3a^2b+3ab^2+b^3$$ with 
$$a=2x,b=3y$$

ammarah · Answer

wait so can i use foil?

ammarah · Answer

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