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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
Divide the given polynomial by the given monomial.
(5x2 − 6x) ÷ 3x
Divide the given polynomial by the given monomial.
8(x3y2z2 + x2y3z2 + x2y2z3) ÷ 4x2y2z2
Write each of the following polynomials in the standard form. Also, write their degree.
Divide −72a4b5c8 by −9a2b2c3.
Divide −4a3 + 4a2 + a by 2a.
Divide 3x3y2 + 2x2y + 15xy by 3xy.
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 |
| 14x2 + 13x − 15 | 7x − 4 |
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 |
Verify the division algorithm i.e. Dividend = Divisor × Quotient + Remainder, in each of the following. Also, write the quotient and remainder.
| Dividend | Divisor |
| 6y5 + 4y4 + 4y3 + 7y2 + 27y + 6 | 2y3 + 1 |
