Factor Completely Using the Trial and Error Method to Factor $$25 x ^ { 3 } y ^ { 4 } + 30 x ^ { 2 } y ^ { 5 } + 8 x y ^ { 6 }$$

question 114

Multiple Choice

Factor completely using the trial and error method to factor trinomials. If unfactorable, indicate that the polynomial is
prime.
- $$25 x ^ { 3 } y ^ { 4 } + 30 x ^ { 2 } y ^ { 5 } + 8 x y ^ { 6 }$$

• A) \(y ^ { 4 } ( 5 x + 4 y ) \left( 5 x ^ { 2 } + 2 x y \right)\)
• B) \(x \left( 5 x y ^ { 4 } + 4 y ^ { 5 } \right) ( 5 x + 2 y )\)
• C) \(x y ^ { 4 } ( 5 x + 4 y ) ( 5 x + 2 y )\)
• D) prime

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Definitions:

Conditional Probabilities

are the probabilities of an event occurring given that another event has already occurred.

Type Errors

Errors made in hypothesis testing where Type I error is rejecting a true null hypothesis, and Type II error is failing to reject a false null hypothesis.

Type I Error

The statistical error that occurs when the null hypothesis is incorrectly rejected when it is actually true.

Type II Error

The error of failing to reject a false null hypothesis, also known as a false negative error.