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प्रश्न
Using division of polynomials, state whether
3y2 + 5 is a factor of 6y5 + 15y4 + 16y3 + 4y2 + 10y − 35
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उत्तर

Remainder is zero. Therefore, 3y2 + 5 is a factor of
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संबंधित प्रश्न
Write the degree of each of the following polynomials.
Write each of the following polynomials in the standard form. Also, write their degree.
a2 + 4 + 5a6
Divide \[y^4 - 3 y^3 + \frac{1}{2} y^2 by 3y\]
Divide 4z3 + 6z2 − z by −\[\frac{1}{2}\]
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 |
| 6y5 + 4y4 + 4y3 + 7y2 + 27y + 6 | 2y3 + 1 |
Divide:
x4 − y4 by x2 − y2
Divide: 8x − 10y + 6c by 2
Simplify `(14"p"^5"q"^3)/(2"p"^2"q") - (12"p"^3"q"^4)/(3"q"^2)`
Statement A: If 24p2q is divided by 3pq, then the quotient is 8p.
Statement B: Simplification of `((5x + 5))/5` is 5x
