Long division x^2+4 / 2x^4-x^3+9x^2
To perform long division, we need to divide the highest degree term in the dividend (2x^4) by the highest degree term in the divisor (x^2). This gives us 2x^2 as the first term of the quotient. Now we multiply this quotient term (2x^2) by the divisor (x^2) and subtract it from the dividend (x^2 + 4).
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2x^4 - x^3 + 9x^2 | x^2 + 4
- (2x^4 - x^3 + 9x^2)
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0
Since the difference is zero, we have successfully divided x^2 + 4 by 2x^4 - x^3 + 9x^2. Therefore, the quotient is 2x^2, and the remainder is 0.