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प्रश्न
Verify the division algorithm i.e. Dividend = Divisor × Quotient + Remainder, in each of the following. Also, write the quotient and remainder.
| Dividend | Divisor |
| 15y4 − 16y3 + 9y2 −\[\frac{10}{3}\] y+6 | 3y − 2 |
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उत्तर
Quotient = \[5 y^3 - 2 y^2 + \frac{5}{3}y\]
Remainder = 6
Divisor = 3y - 2
Divisor x Quotient + Remainder = (3y - 2) (5y3 - 2y2 +
Divisor x Quotient + Remainder = Dividend
Hence verified.
संबंधित प्रश्न
Write the degree of each of the following polynomials.
5x2 − 3x + 2
Write each of the following polynomials in the standard form. Also, write their degree.
a2 + 4 + 5a6
Write each of the following polynomials in the standard form. Also, write their degree.
(y3 − 2)(y3 + 11)
Divide `15 y^4 + 16 y^3 + 10-3 y - 9y^2 - 6` by 3y − 2. Write down the coefficients of the terms in the quotient.
Using division of polynomials, state whether
2x2 − x + 3 is a factor of 6x5 − x4 + 4x3 − 5x2 − x − 15
Divide the first polynomial by the second in each of the following. Also, write the quotient and remainder:
y4 + y2, y2 − 2
Find whether the first polynomial is a factor of the second.
4y + 1, 8y2 − 2y + 1
Divide:
x2 − 5x + 6 by x − 3
Divide:
x4 − y4 by x2 − y2
Divide 27y3 by 3y
