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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.
5x2 − 3x + 2
Write the degree of each of the following polynomials.
Write each of the following polynomials in the standard form. Also, write their degree.
x2 + 3 + 6x + 5x4
Divide 15m2n3 by 5m2n2.
Divide\[- x^6 + 2 x^4 + 4 x^3 + 2 x^2\ \text{by} \sqrt{2} x^2\]
Divide 4z3 + 6z2 − z by −\[\frac{1}{2}\]
Divide 3x3y2 + 2x2y + 15xy by 3xy.
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 |
Using division of polynomials, state whether
3y2 + 5 is a factor of 6y5 + 15y4 + 16y3 + 4y2 + 10y − 35
The denominator of a fraction exceeds Its numerator by 8. If the numerator is increased by 17 and the denominator is decreased by 1, we get `3/2`. Find the original fraction.
