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

Write each of the following polynomials in the standard form. Also, write their degree.

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

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

Divide 6x³+ 11x² − 39x − 65 by 3x² + 13x + 13 and find the quotient and remainder.

Using division of polynomials, state whether

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

Using division of polynomials, state whether

2x² − x + 3 is a factor of 6x⁵ − x⁴ + 4x³ − 5x² − x − 15

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

x⁴ − x³ + 5x, x − 1

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

8x³y ÷ 4x² = 2xy