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Question
Divide x4 + x2 + 1 by x2 + x + 1.
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Solution
RELATED QUESTIONS
Write the degree of each of the following polynomials.
Write each of the following polynomials in the standard form. Also, write their degree.
x2 + 3 + 6x + 5x4
Divide x + 2x2 + 3x4 − x5 by 2x.
Divide\[\sqrt{3} a^4 + 2\sqrt{3} a^3 + 3 a^2 - 6a\ \text{by}\ 3a\]
Divide 3x3y2 + 2x2y + 15xy by 3xy.
Verify the division algorithm i.e. Dividend = Divisor × Quotient + Remainder, in each of the following. Also, write the quotient and remainder.
| Dividend | Divisor |
| 15z3 − 20z2 + 13z − 12 | 3z − 6 |
Using division of polynomials, state whether
3y2 + 5 is a factor of 6y5 + 15y4 + 16y3 + 4y2 + 10y − 35
Divide the first polynomial by the second in each of the following. Also, write the quotient and remainder:
3x2 + 4x + 5, x − 2
Find whether the first polynomial is a factor of the second.
4y + 1, 8y2 − 2y + 1
Divide: −14x6y3 − 21x4y5 + 7x5y4 by 7x2y2
