Question

Divide: (−4z⁶v⁷+6x⁵v⁴+18z³v) by (2z⁴v²) and simplify the answer as much as possible.

Answer 1

Divide each term in the polynomial by the denominator, and simplify. The resulting expression is −2z2v5 + 3x5z−4v2 + 9/(zv).

Step-by-step explanation:

To divide the polynomial (−4z6v7+6x5v4+18z3v) by (2z4v2), we will separate each term in the polynomial and divide them individually by the denominator.

• First term: −4z6v7 divided by 2z4v2 results in −2z2v5.
• Second term: 6x5v4 divided by 2z4v2 results in 3x5z−4v2 since x is not present in the denominator it remains unaffected.
• Third term: 18z3v divided by 2z4v2 results in 9z−1v−1 or 9/(zv).

Hence, the simplified form of the division is −2z2v5 + 3x5z−4v2 + 9/(zv).