2x⁴-3x³+x²+1÷x-2 Tell me fast
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Answer:
How do you divide x² + 2x⁴ - 3x³ + x - 2 by x² – 3x +2?
Lukas Schmidinger
Answered January 3, 2021
How do you divide x² + 2x⁴ - 3x³ + x - 2 by x² – 3x +2?
First I bring the larger polynomial in descending power order:
[math]x^2+2x^4-3x^3+x-2=2x^4-3x^3+x^2+x-2[/math]
Next I just do normal polynom division:
2x^4-3x^3+x^2+x-2:x^2-3x+2
The question is always how can we eleminate the highest power?
2x^4-3x^3+1x^2+x-2:x^2-3x+2=2x^2+3x+6
2x^4-6x^3+4x^2 <--subtract that
3x^3-3x^2+1x-2 <-- bring the rest down
3x^3-9x^2+6x <--subtract
6x^2-5x-2
6x^2-18x+12 <-- subtract
13x-14 <-- given that
this is a smaller degree than the
divisor we can stop here, that's the reminder
Step-by-step explanation:
plss follow