Divide 14x3 − 5x2 + 9x − 1 by 2x − 1 and Find the Quotient and Remainder

Divide 14x³ − 5x² + 9x − 1 by 2x − 1 and find the quotient and remainder

Sum

\[\text{Quotient} = 7 x^2 + x + 5\]
\[\text{Remainder} = 4\]

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Write the degree of each of the following polynomials.
2x + x² − 8

Divide 6x³y²z² by 3x²yz.

Divide 5x³ − 15x² + 25x by 5x.

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

Divide x⁴ + x² + 1 by x² + x + 1.

Using division of polynomials, state whether

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

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

2a − 3, 10a² − 9a − 5

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

7ab³ ÷ 14ab = 2b²

Statement A: If 24p²q is divided by 3pq, then the quotient is 8p.

Statement B: Simplification of `((5x + 5))/5` is 5x