Divide −21 + 71x − 31x2 − 24x3 by 3 − 8x.

Divide −21 + 71x − 31x² − 24x³ by 3 − 8x.

Sum

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Which of the following expressions are not polynomials?

x² + 2x⁻²

Which of the following expressions are not polynomials?

Divide \[y^4 - 3 y^3 + \frac{1}{2} y^2 by 3y\]

Divide\[\sqrt{3} a^4 + 2\sqrt{3} a^3 + 3 a^2 - 6a\ \text{by}\ 3a\]

Divide 3y⁴ − 3y³ − 4y² − 4y by y² − 2y.

Verify the division algorithm i.e. Dividend = Divisor × Quotient + Remainder, in each of the following. Also, write the quotient and remainder.

Dividend	Divisor
14x² + 13x − 15	7x − 4

Find whether the first polynomial is a factor of the second.

4y + 1, 8y² − 2y + 1

Divide:
x⁴ − y⁴ by x² − y²

8x³y ÷ 4x² = 2xy

Divide: (32y² – 8yz) by 2y