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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
संबंधित प्रश्न
Divide the given polynomial by the given monomial.
(3y8 − 4y6 + 5y4) ÷ y4
Divide the given polynomial by the given monomial.
8(x3y2z2 + x2y3z2 + x2y2z3) ÷ 4x2y2z2
Divide −21abc2 by 7abc.
Divide 3y4 − 3y3 − 4y2 − 4y by y2 − 2y.
Verify the division algorithm i.e. Dividend = Divisor × Quotient + Remainder, in each of the following. Also, write the quotient and remainder.
| Dividend | Divisor |
| 15z3 − 20z2 + 13z − 12 | 3z − 6 |
Divide the first polynomial by the second in each of the following. Also, write the quotient and remainder:
3x2 + 4x + 5, x − 2
Divide the first polynomial by the second in each of the following. Also, write the quotient and remainder:
5y3 − 6y2 + 6y − 1, 5y − 1
Find whether the first polynomial is a factor of the second.
4y + 1, 8y2 − 2y + 1
Divide: −14x6y3 − 21x4y5 + 7x5y4 by 7x2y2
Divide: 81(p4q2r3 + 2p3q3r2 – 5p2q2r2) by (3pqr)2
