Divide 9x2y − 6xy + 12xy2 by − 3 2

Divide 9x²y − 6xy + 12xy² by −\[\frac{3}{2}\]

Sum

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

Divide 5x³ − 15x² + 25x by 5x.

Divide x⁴ − 2x³ + 2x² + x + 4 by x² + x + 1.

Divide 14x³ − 5x² + 9x − 1 by 2x − 1 and find the quotient and remainder

Divide 6x³ − x² − 10x − 3 by 2x − 3 and find the quotient and remainder.

Divide 9x⁴ − 4x² + 4 by 3x² − 4x + 2 and find the quotient and remainder.

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

Dividend	Divisor
4y³ + 8y + 8y² + 7	2y² − y + 1

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.

x + 1, 2x² + 5x + 4

Divide 24(x²yz + xy²z + xyz²) by 8xyz using both the methods.