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प्रश्न
Divide: 15a3b4 − 10a4b3 − 25a3b6 by −5a3b2
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उत्तर
`(15"a"^3"b"^4-10"a"^4"b"^3-25"a"^3"b"^6)/ (-5"a"^3"b"^2)`
`=(15"a"^3"b"^4)/(-5"a"^3"b"^2)-(10"a"^4"b"^3) /(-5"a"^3"b"2)-(25"a"^3"B"^6)/(-5"a"^3"b"^2)`
= −3b4−2 + 2a4−3b3−2 + 5b6−2
= −3b2 + 2ab + 5b4
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संबंधित प्रश्न
Write each of the following polynomials in the standard form. Also, write their degree.
x2 + 3 + 6x + 5x4
Divide 5x3 − 15x2 + 25x by 5x.
Divide 14x2 − 53x + 45 by 7x − 9.
Divide m3 − 14m2 + 37m − 26 by m2 − 12m +13.
Divide x4 + x2 + 1 by x2 + x + 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 |
Using division of polynomials, state whether
2x2 − x + 3 is a factor of 6x5 − x4 + 4x3 − 5x2 − x − 15
Find whether the first polynomial is a factor of the second.
4 − z, 3z2 − 13z + 4
Divide:
x4 − y4 by x2 − y2
