Divide 5x3 − 15x2 + 25x by 5x.

Divide 5x³ − 15x² + 25x by 5x.

Sum

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Divide 72xyz² by −9xz.

Divide −4a³ + 4a² + a by 2a.

Divide 4z³ + 6z² − z by −\[\frac{1}{2}\]

Divide 4y² + 3y +\[\frac{1}{2}\] by 2y + 1.

Divide 14x² − 53x + 45 by 7x − 9.

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

Using division of polynomials, state whether

2y − 5 is a factor of 4y⁴ − 10y³ − 10y² + 30y − 15

Using division of polynomials, state whether

3y² + 5 is a factor of 6y⁵ + 15y⁴ + 16y³ + 4y² + 10y − 35

Divide:
x⁴ − y⁴ by x² − y²

Simplify `(14"p"^5"q"^3)/(2"p"^2"q") - (12"p"^3"q"^4)/(3"q"^2)`