Write the Degree of Each of the Following Polynomials. 5

Write the degree of each of the following polynomials.

Sum

\[\text{5 is a constant polynomial and its degree is 0 .} \]

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Divide the given polynomial by the given monomial.

8(x³y²z² + x²y³z² + x²y²z³) ÷ 4x²y²z²

Divide 72xyz² by −9xz.

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
14x² + 13x − 15	7x − 4

Using division of polynomials, state whether

x + 6 is a factor of x² − x − 42

Divide the first polynomial by the second in each of the following. Also, write the quotient and remainder:

y⁴ + y², y² − 2

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

y − 2, 3y³ + 5y² + 5y + 2

Divide:
acx² + (bc + ad)x + bd by (ax + b)

Divide: 15a³b⁴ − 10a⁴b³ − 25a³b⁶ by −5a³b²