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# What is the remainder when you divide 2x3 plus 4x2 - x plus 3 by x plus 2?

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## Related Questions

###### Asked in Math and Arithmetic

### What is x3 plus 4x2-3x-12 divided by x2-3?

(x3 + 4x2 - 3x - 12)/(x2 - 3) = x + 4
(multiply x2 - 3 by x, and subtract the product from the
dividend)
1. x(x2 - 3) = x3 - 3x = x3 + 0x2 - 3x
2. (x3 + 4x2 - 3x - 12) - (x3 + 0x2 - 3x) = x3 + 4x2 - 3x - 12 -
x3 + 3x = 4x2 - 12
(multiply x2 - 3 by 4, and subtract the product from 4x2
- 12)
1. 4x(x - 3) = 4x2 - 12 = 4x2 - 12
2. (4x2 - 12) - (4x2 - 12) = 4x2 - 12 - 4x2 + 12 = 0
(remainder)