Question

Divide. (12zx^(4)-9z^(6)x^(4)-14z^(6)x^(3))-:(-2z^(3)x^(2)) Simplify your answer as much as possible.

Answer 1

To divide the given polynomial expression by the provided term, coefficient division and exponent subtraction are applied to each term, resulting in a simplified polynomial expression.

Step-by-step explanation:

To divide the polynomial (12zx4 - 9z6x4 - 14z6x3) by (-2z3x2), you use division of exponentials. This involves dividing the coefficient of each term in the numerator by the coefficient of the denominator and subtracting the exponents of the corresponding variables.

Here's the calculation step by step:

1. Divide 12zx4 by -2z3x2, resulting in -6z-2x2.
2. Divide -9z6x4 by -2z3x2, resulting in 4.5z3x2.
3. Divide -14z6x3 by -2z3x2, resulting in 7z3x.

So, the simplified result is -6z-2x2 + 4.5z3x2 + 7z3x. Remember that negative exponents denote a division, so z-2 can be rewritten as 1/z2.