SOLUTION: Please help me with the following problem, This is multiplication & division of polynomials The problem is: (6x^3+19x^2+x-6)/(3x+2) The answer I got was 2(x^4-16y^4) I'm being

Question 196033: Please help me with the following problem, This is multiplication & division of polynomials
The problem is: (6x^3+19x^2+x-6)/(3x+2)
The answer I got was 2(x^4-16y^4) I'm being told I need to factor the expression in the parenthesis further using difference of squares
Thanks
Answer by RAY100(1637) (Show Source): You can put this solution on YOUR website!
using polynomial division
.
.,,,,,,,,,,,,,,,,,_____2x^2__+5x__-3_____________________
,,,,,,(3x+2) | 6x^3 + 19x^2 + x -6
,,,,,,,,,,,,,,,,,,,(6x^3 + 4x^2
,,,,,,,,,,,,,,,,,,,,______________
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,15x^2 +x
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,15x^2 + 10x
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,_____________
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, -9x - 6
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,-9x -6
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,________
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,0
.
2x^2 +5x -3
.
(2x-1)(x+3),,,,,ANSWER
.
checking
Let x=0,,original = -3,,,,answer = -3,,,,ok
Let x=1, original = 4, answer =4,,,ok
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