Advertisements
Advertisements
प्रश्न
Verify the division algorithm i.e. Dividend = Divisor × Quotient + Remainder, in each of the following. Also, write the quotient and remainder.
| Dividend | Divisor |
| 6y5 − 28y3 + 3y2 + 30y − 9 | 2y2 − 6 |
Advertisements
उत्तर
Quotient = \[3 y^3 - 5y + \frac{3}{2}\]
Remainder = 0
Divisor = 2y2 - 6
Divisor x Quotient + Remainder =
\[(2 y^2 - 6) \left( 3 y^3 - 5y + \frac{3}{2} \right) + 0\]
\[ = 6 y^5 - 10 y^3 + 3 y^2 - 18 y^3 + 30y - 9\]
\[ = 6 y^5 - 28 y^3 + 3 y^2 + 30y - 9\]
= Dividend
Thus, Divisor x Quotient + Remainder = Dividend
Hence verified.
संबंधित प्रश्न
Write each of the following polynomials in the standard form. Also, write their degree.
(y3 − 2)(y3 + 11)
Write each of the following polynomials in the standard form. Also, write their degree.
Divide 5x3 − 15x2 + 25x by 5x.
Divide 3x3 + 4x2 + 5x + 18 by x + 2.
Divide x5 + x4 + x3 + x2 + x + 1 by x3 + 1.
Verify the division algorithm i.e. Dividend = Divisor × Quotient + Remainder, in each of the following. Also, write the quotient and remainder.
| Dividend | Divisor |
| 4y3 + 8y + 8y2 + 7 | 2y2 − y + 1 |
Using division of polynomials, state whether
2x2 − x + 3 is a factor of 6x5 − x4 + 4x3 − 5x2 − x − 15
Divide: 8x − 10y + 6c by 2
Divide 27y3 by 3y
Statement A: If 24p2q is divided by 3pq, then the quotient is 8p.
Statement B: Simplification of `((5x + 5))/5` is 5x
