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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
Which of the following expressions are not polynomials?
x2 + 2x−2
Which of the following expressions are not polynomials?
Divide 6x3y2z2 by 3x2yz.
Divide 3x3 + 4x2 + 5x + 18 by x + 2.
Divide 2y5 + 10y4 + 6y3 + y2 + 5y + 3 by 2y3 + 1.
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 |
| 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 |
| 6y5 + 4y4 + 4y3 + 7y2 + 27y + 6 | 2y3 + 1 |
Divide the first polynomial by the second in each of the following. Also, write the quotient and remainder:
10x2 − 7x + 8, 5x − 3
Divide the first polynomial by the second in each of the following. Also, write the quotient and remainder:
y4 + y2, y2 − 2
