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प्रश्न
Using division of polynomials, state whether
z2 + 3 is a factor of z5 − 9z
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उत्तर
Remainder is zero; therefore, z2 + 3 is a factor of
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संबंधित प्रश्न
Write the degree of each of the following polynomials.
2x2 + 5x2 − 7
Write each of the following polynomials in the standard form. Also, write their degree.
Divide 5x3 − 15x2 + 25x by 5x.
Divide 14x2 − 53x + 45 by 7x − 9.
Divide 6x3 − x2 − 10x − 3 by 2x − 3 and find the quotient and remainder.
Verify the division algorithm i.e. Dividend = Divisor × Quotient + Remainder, in each of the following. Also, write the quotient and remainder.
| Dividend | Divisor |
| 34x − 22x3 − 12x4 − 10x2 − 75 | 3x + 7 |
Verify the division algorithm i.e. Dividend = Divisor × Quotient + Remainder, in each of the following. Also, write the quotient and remainder.
| Dividend | Divisor |
| 4y3 + 8y + 8y2 + 7 | 2y2 − y + 1 |
Find whether the first polynomial is a factor of the second.
4x2 − 5, 4x4 + 7x2 + 15
Divide:
acx2 + (bc + ad)x + bd by (ax + b)
Divide: −14x6y3 − 21x4y5 + 7x5y4 by 7x2y2
