Write the Degree of Each of the Following Polynomials. 3x3 + 1

Write the degree of each of the following polynomials.

3x³ + 1

Sum

\[\text{The degree of the polymonial}\ 3 x^3 + 1\ \text{is}\ 3 . \]

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Divide the given polynomial by the given monomial.

(3y⁸− 4y⁶ + 5y⁴) ÷ y⁴

Divide the given polynomial by the given monomial.

8(x³y²z² + x²y³z² + x²y²z³) ÷ 4x²y²z²

Divide 15m²n³ by 5m²n².

Divide 2y⁵ + 10y⁴ + 6y³ + y² + 5y + 3 by 2y³ + 1.

Divide 6x³+ 11x² − 39x − 65 by 3x² + 13x + 13 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

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

y − 2, 3y³ + 5y² + 5y + 2

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

4 − z, 3z² − 13z + 4

Divide:

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

8x³y ÷ 4x² = 2xy