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प्रश्न
Using division of polynomials, state whether
2x2 − x + 3 is a factor of 6x5 − x4 + 4x3 − 5x2 − x − 15
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उत्तर
Remainder is zero ; therefore,
संबंधित प्रश्न
Divide the given polynomial by the given monomial.
(3y8 − 4y6 + 5y4) ÷ y4
Divide the given polynomial by the given monomial.
(x3 + 2x2 + 3x) ÷ 2x
Divide 5z3 − 6z2 + 7z by 2z.
Divide 9x2y − 6xy + 12xy2 by −\[\frac{3}{2}\]
Divide 14x2 − 53x + 45 by 7x − 9.
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 |
Divide the first polynomial by the second in each of the following. Also, write the quotient and remainder:
10x2 − 7x + 8, 5x − 3
Find whether the first polynomial is a factor of the second.
4x2 − 5, 4x4 + 7x2 + 15
Divide:
(a2 + 2ab + b2) − (a2 + 2ac + c2) by 2a + b + c
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.
