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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
Write the degree of each of the following polynomials.
Divide \[y^4 - 3 y^3 + \frac{1}{2} y^2 by 3y\]
Divide 14x3 − 5x2 + 9x − 1 by 2x − 1 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 |
| 6y5 + 4y4 + 4y3 + 7y2 + 27y + 6 | 2y3 + 1 |
Find the value of a, if x + 2 is a factor of 4x4 + 2x3 − 3x2 + 8x + 5a.
Divide the first polynomial by the second in each of the following. Also, write the quotient and remainder:
x4 − x3 + 5x, x − 1
Divide:
acx2 + (bc + ad)x + bd by (ax + b)
Divide:
(a2 + 2ab + b2) − (a2 + 2ac + c2) by 2a + b + c
Divide: −14x6y3 − 21x4y5 + 7x5y4 by 7x2y2
Divide 27y3 by 3y
