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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
संबंधित प्रश्न
Write the degree of each of the following polynomials.
2x2 + 5x2 − 7
Which of the following expressions are not polynomials?
Divide x + 2x2 + 3x4 − x5 by 2x.
Verify the division algorithm i.e. Dividend = Divisor × Quotient + Remainder, in each of the following. Also, write the quotient and remainder.
| Dividend | Divisor |
| 34x − 22x3 − 12x4 − 10x2 − 75 | 3x + 7 |
Using division of polynomials, state whether
x + 6 is a factor of x2 − x − 42
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:
3x2 + 4x + 5, x − 2
Divide the first polynomial by the second in each of the following. Also, write the quotient and remainder:
5y3 − 6y2 + 6y − 1, 5y − 1
Find whether the first polynomial is a factor of the second.
4 − z, 3z2 − 13z + 4
Divide:
(a2 + 2ab + b2) − (a2 + 2ac + c2) by 2a + b + c
