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प्रश्न
Find whether the first polynomial is a factor of the second.
4x2 − 5, 4x4 + 7x2 + 15
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उत्तर
\[(\frac{4 x^4 +^2 +15}{{4x}^2 -5}\]
\[ = \frac{x^2 {(4x}^2 {-5)+3(4x}^2 -5)+30}{{4x}^2 -5}\]
\[ = \frac{( {4x}^2 {-5)(x}^2 +3 ) +30}{{4x}^2 -5}\]
\[ {=(x}^2 +3 ) + \frac{30}{{4x}^2 -5}\]
\[ \because \text{Remainder = 30}\]
\[\text{Therefore,} (4 x^2 - 5) \text{is not a factor of}\ 4 x^4 + 7 x^2 + 15\]
संबंधित प्रश्न
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Divide −4a3 + 4a2 + a by 2a.
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| Dividend | Divisor |
| 15y4 − 16y3 + 9y2 −\[\frac{10}{3}\] y+6 | 3y − 2 |
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x + 1, 2x2 + 5x + 4
Find whether the first polynomial is a factor of the second.
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Divide:
ax2 − ay2 by ax + ay
