If Possible, Factor the Polynomial Completely $$36 \mathrm { k } ^ { 3 } \mathrm {~m} - 84 \mathrm { k } ^ { 2 } \mathrm {~m} ^ { 2 } + 49 \mathrm {~km} ^ { 3 }$$

question 29

Multiple Choice

If possible, factor the polynomial completely. If a polynomial cannot be factored, state that it is prime.
- $$36 \mathrm { k } ^ { 3 } \mathrm {~m} - 84 \mathrm { k } ^ { 2 } \mathrm {~m} ^ { 2 } + 49 \mathrm {~km} ^ { 3 }$$

• A) \(\mathrm { km } ( 6 \mathrm { k } + 7 \mathrm {~m} ) ^ { 2 }\)
• B) \(k m ( 6 k - 7 m ) ( 6 k + 7 m )\)
• C) \(\left( 36 \mathrm { mk } ^ { 2 } + \mathrm { km } \right) \left( \mathrm { k } + 49 \mathrm {~m} ^ { 2 } \right)\)
• D) \(\mathrm { km } ( 6 \mathrm { k } - 7 \mathrm {~m} ) ^ { 2 }\)

---

Definitions:

Dependent Variable

In an experiment, it is the variable being tested and measured, which is expected to change as a result of modifications to the independent variable.

Independent Variable

A variable in an experiment or study that is manipulated or changed to observe its effect on a dependent variable.

Independent Variable

A variable that is manipulated or changed in an experiment to see if it causes an effect on another variable.

Dependent Variable

The variable in a study or experiment that is observed for changes in response to alterations in the independent variable.