Divide 4y2 + 3y + 1 2 by 2y + 1.

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

Sum

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Divide the given polynomial by the given monomial.

(x³ + 2x² + 3x) ÷ 2x

Divide −72a⁴b⁵c⁸ by −9a²b²c³.

Simplify:\[\frac{32 m^2 n^3 p^2}{4mnp}\]

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

Divide 5x³ − 15x² + 25x by 5x.

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

z²+ 3 is a factor of z⁵ − 9z

Divide:

(a² + 2ab + b²) − (a² + 2ac + c²) by 2a + b + c

8x³y ÷ 4x² = 2xy

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