Polynomial Division- Algebra 2 help?
I really don't understand this
1. 2x^2 + 10x + 12 divided by x +3 (using long division)
2. 6x^3 - 16x^2 + 17x - 6 divided by 3x - 2 (using long division)
3. x^3 + 4x^2 -3x - 12 divided by x^2 -3 (using long division)
4. 3x^3 + 17x^2 + 15x + 2 divided by (x+5) using synthetic division
5. -x^3 + 75x -250 divided by (x+10) using synthetic division.
Please help! 10pts (:
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i'll do one long and one synthetic so I don't spoil the joy of it for you:
3. x + 4
————————
x² - 3 | x³ + 4x² - 3x - 12
x³ -3x
—————
4x² + 0
4x² -12
—————
0
so
(x³ + 4x² - 3x - 12) / (x² - 3) = x + 4
5.
-10│-1 0 75 -250
│ 10 -100 250
└────────────
-1 10 -25 0
so
(-x³ + 75x - 250) / (x+10) = -x² + 10x - 25
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